Gr 9 MATH: Term Test 3

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What is the gradient of a line passing through points (2, 3) and (4, 5)?

3/2
1/2
2
1 (correct)

Which of the following is NOT a way to represent relationships between variables?

Pictures (correct)
Formulas
Graphs
Flow diagrams

What does the slope of a graph indicate?

The coordinates of the intercepts
The rate of change between variables (correct)
The shape of the graph
The continuity of the graph

What is a function?

A relationship between two variables where each input has exactly one output (B) Signup and view all the answers

What is the term for the value substituted into a function?

Input number (D) Signup and view all the answers

What is the purpose of flow diagrams?

To show the calculations needed to transform input into output (D) Signup and view all the answers

What is the term for the result after applying a function to an input?

Output number (D) Signup and view all the answers

What does the shape of a graph provide insights into?

The nature of the relationship between variables (B) Signup and view all the answers

What is the sum of interior angles of a triangle?

180° (D) Signup and view all the answers

What type of triangle has all sides and angles equal?

Equilateral Triangle (B) Signup and view all the answers

What is the name of the theorem that relates to right triangles?

Pythagorean Theorem (B) Signup and view all the answers

What is the sum of co-interior angles?

180° (A) Signup and view all the answers

What type of angle is formed when two lines intersect?

Vertically Opposite Angle (D) Signup and view all the answers

What is the name of the shape with all sides and angles equal?

Regular Polygon (B) Signup and view all the answers

What is the formula for the area of a rectangle?

A = l × w (B) Signup and view all the answers

What type of angle is formed when a transversal intersects parallel lines?

Corresponding Angle (A) Signup and view all the answers

What is the name of the shape with opposite sides equal and parallel?

Parallelogram (B) Signup and view all the answers

What is the formula for the perimeter of a square?

P = 4s (C) Signup and view all the answers

What is the formula to calculate the gradient of a line passing through two points (x_1, y_1) and (x_2, y_2)?

Gradient = (y_2 - y_1)/(x_2 - x_1) (C) Signup and view all the answers

What is the purpose of a flow diagram in understanding functions?

To illustrate the steps to compute outputs from inputs (B) Signup and view all the answers

What does the slope of a graph indicate?

How rapidly the output changes with respect to the input (B) Signup and view all the answers

What is the sum of angles on a straight line?

180° (B) Signup and view all the answers

What are the angles called when two lines intersect to form equal angles of 90°?

Perpendicular angles (D) Signup and view all the answers

What is the term for angles on opposite sides of a transversal but inside the two intersected lines?

Alternate angles (A) Signup and view all the answers

What is the purpose of measuring angles in a graph?

To check the equality of corresponding and alternate angles (B) Signup and view all the answers

What is a function?

A relationship between two variables where each input corresponds to exactly one output (C) Signup and view all the answers

What is the term for the value substituted into a function?

Input number (A) Signup and view all the answers

What is the term for the specific output corresponding to a given input?

Function value (B) Signup and view all the answers

How many interior opposite angles does an exterior angle of a triangle have?

Two (A) Signup and view all the answers

What is the minimum condition for congruency of two triangles when given one side and two angles?

SAA (D) Signup and view all the answers

What is the formula for the area of a triangle?

A = 1/2 × base × height (D) Signup and view all the answers

What is the condition for congruency of two triangles when given a right angle, the hypotenuse, and one other side?

RHS (A) Signup and view all the answers

What is the formula for the perimeter of a triangle?

P = a + b + c (B) Signup and view all the answers

How many minimum conditions are there for congruency of two triangles?

6 (C) Signup and view all the answers

What is the formula for the area of a circle?

A = πr^2 (D) Signup and view all the answers

What is the formula for the circumference of a circle?

C = 2πr (A) Signup and view all the answers

What is the formula for the area of a sector?

A = (θ/360) × πr^2 (B) Signup and view all the answers

What is the formula for the sum of interior angles of a regular polygon?

Sum = (n - 2) × 180° (D) Signup and view all the answers

What is the essential tool used to draw a circle with a given radius?

Compass (B) Signup and view all the answers

How do you ensure all angles are equal when constructing a square or rectangle?

Using a set square (D) Signup and view all the answers

What is the key to constructing a rhombus?

Using a compass to draw four equal sides from a single vertex (C) Signup and view all the answers

How do you determine the angle between vertices when constructing a regular polygon?

Dividing 360° by the number of sides (A) Signup and view all the answers

What is the primary tool used to construct parallel lines in a parallelogram?

Set square (B) Signup and view all the answers

What is the formula to find the area of a trapezium?

A = 1/2 × (a + b) × h (A) Signup and view all the answers

What is the formula to find the circumference of a circle?

C = 2πr (A) Signup and view all the answers

What is the formula to find the area of a sector?

A = θ/360 × πr^2 (D) Signup and view all the answers

What is the sum of interior angles in a polygon with n sides?

(n - 2) × 180° (D) Signup and view all the answers

What is the formula to find the area of a regular polygon?

A = 1/4 × n × s^2 × cot(π/n) (D) Signup and view all the answers

How do you construct a perpendicular line through a point not on the line segment?

Draw a circle with one end point of the line segment as the center, and draw another circle with the other end point as the center. (D) Signup and view all the answers

What is the property of interior angles in a triangle?

The sum of the interior angles is 180°. (D) Signup and view all the answers

What is the property of angle bisectors in a triangle?

The three angle bisectors intersect at one point, equidistant from each side of the triangle. (A) Signup and view all the answers

What is the definition of an exterior angle in a triangle?

An angle between a side of the triangle and an extended adjacent side. (B) Signup and view all the answers

How do you construct a 45° angle?

Draw a 90° angle using the method for constructing perpendicular lines, and then bisect the 90° angle. (B) Signup and view all the answers

What is the primary way to represent the relationship between variables in a graph?

Visual representation on a coordinate plane (B) Signup and view all the answers

What does the gradient of a line indicate?

The rate of change between variables (B) Signup and view all the answers

What is the key feature to consider when interpreting graphs?

The slope/gradient (B) Signup and view all the answers

What type of representation shows the calculations needed to transform input into output?

Flow diagram (A) Signup and view all the answers

What is the importance of continuity in interpreting graphs?

It determines whether the graph is a continuous line or has breaks/discontinuities (A) Signup and view all the answers

What is the purpose of a graph in understanding functions?

To provide a visual representation of the relationship between variables (B) Signup and view all the answers

What is the relationship between the input and output in a function?

Each input has exactly one output (C) Signup and view all the answers

What is the term for the point where the graph crosses the axes?

Intercept (C) Signup and view all the answers

What is the formula for the area of a kite?

A = 1/2 × d1 × d2 (D) Signup and view all the answers

What is the formula for the circumference of a circle?

C = 2 × π × r (D) Signup and view all the answers

What is the formula for the area of a sector?

A = (θ/360) × π × r^2 (B) Signup and view all the answers

What is the formula for the area of a trapezium?

A = 1/2 × (a + b) × h (C) Signup and view all the answers

What is the sum of interior angles of a regular polygon with n sides?

(n - 2) × 180° (D) Signup and view all the answers

What is the construction method to bisect an angle?

Using a compass to draw a circle with the vertex as the center (A) Signup and view all the answers

What is the property of the three angle bisectors of a triangle?

They intersect at one point, equidistant from each side of the triangle (B) Signup and view all the answers

What is the formula for the perimeter of a polygon with n sides and side length s?

P = n × s (B) Signup and view all the answers

What is the purpose of constructing perpendicular lines?

To construct a square or rectangle (D) Signup and view all the answers

What is the tool used to construct a circle with a given radius?

Compass (D) Signup and view all the answers

What is the sum of angles on a straight line?

180° (D) Signup and view all the answers

What is the name of the shape with all sides and angles equal?

Regular Polygon (B) Signup and view all the answers

What is the term for angles on opposite sides of a transversal but inside the two intersected lines?

Alternate Angles (B) Signup and view all the answers

What is the property of corresponding angles when a transversal intersects parallel lines?

They are equal (B) Signup and view all the answers

What is the sum of co-interior angles?

180° (B) Signup and view all the answers

What is the name of the theorem that relates to right triangles?

Pythagorean Theorem (A) Signup and view all the answers

What is the condition for congruency of two triangles when given a right angle, the hypotenuse, and one other side?

RHS (D) Signup and view all the answers

What is the formula for the area of a parallelogram?

A = bh (C) Signup and view all the answers

What is the name of the shape with opposite sides equal and parallel?

Parallelogram (C) Signup and view all the answers

What is the purpose of measuring angles in a graph?

To determine the properties of parallel lines and transversals (B) Signup and view all the answers

What is the minimum condition for congruency of two triangles when given two sides and an included angle?

SAS (D) Signup and view all the answers

What is the formula for the area of a triangle?

A = 1/2 × base × height (A) Signup and view all the answers

How many interior opposite angles does an exterior angle of a triangle have?

2 (C) Signup and view all the answers

What is the formula for the perimeter of a rectangle?

P = 2(l + w) (D) Signup and view all the answers

What is the condition for congruency of two triangles when given a right angle, the hypotenuse, and one other side?

RHS (C) Signup and view all the answers

What is the formula for the area of a sector?

A = (θ/360) × πr^2 (A) Signup and view all the answers

What is the sum of interior angles in a polygon with n sides?

(n - 2) × 180º (A) Signup and view all the answers

What is the formula for the area of a rhombus?

A = 1/2 × d1 × d2 (B) Signup and view all the answers

What is the formula for the circumference of a circle?

C = 2πr (B) Signup and view all the answers

What is the minimum number of conditions required for congruency of two triangles?

6 (B) Signup and view all the answers

What is the essential tool used to draw a circle with a given radius?

Compass (B) Signup and view all the answers

When constructing a parallelogram, what is used to ensure opposite angles are equal?

Set square (B) Signup and view all the answers

What is the key to constructing a rhombus?

Using a compass to draw four equal sides from a single vertex (A) Signup and view all the answers

How do you determine the angle between vertices when constructing a regular polygon?

Divide 360° by the number of sides (A) Signup and view all the answers

What is the primary tool used to construct a square or rectangle?

Ruler (A) Signup and view all the answers

What is the purpose of creating a table of values when drawing graphs of functions?

To plot the input-output pairs on a coordinate plane (A) Signup and view all the answers

What is the relationship between the angles on a straight line?

The sum of the angles is 180° (D) Signup and view all the answers

What is the term for the angles formed when two lines intersect to form equal angles of 90°?

Perpendicular angles (D) Signup and view all the answers

What is the purpose of identifying the parallel lines and transversal when drawing graphs of angles and lines?

To determine the corresponding angles (C) Signup and view all the answers

What is the term for the angles on opposite sides of a transversal but inside the two intersected lines?

Alternate angles (B) Signup and view all the answers

What is the formula for calculating the gradient of a line passing through two points (x_1, y_1) and (x_2, y_2)?

Gradient = (y_2 - y_1) / (x_2 - x_1) (C) Signup and view all the answers

What is the purpose of drawing graphs of functions?

To visualize the relationship between variables (C) Signup and view all the answers

What is the sum of co-interior angles when a transversal intersects parallel lines?

180° (D) Signup and view all the answers

What is the term for the value substituted into a function to get the output value?

Input number (D) Signup and view all the answers

What is the purpose of using a protractor when drawing graphs of angles and lines?

To measure the angles formed by the lines (D) Signup and view all the answers

What is the primary purpose of a graph in understanding relationships between variables?

To visualize the relationship between variables (C) Signup and view all the answers

Which of the following represents a relationship between two variables where each input has exactly one output?

Function (C) Signup and view all the answers

What is the key feature to consider when interpreting a graph that indicates the rate of change between variables?

Slope/Gradient (C) Signup and view all the answers

What is the term for the points where a graph crosses the axes?

Intercepts (C) Signup and view all the answers

Which of the following is a way to represent relationships between variables?

All of the above (D) Signup and view all the answers

What does the continuity of a graph indicate?

Whether the graph is a continuous line or has breaks/discontinuities (C) Signup and view all the answers

What is the term for a quantity that can change?

Variable (D) Signup and view all the answers

What is the term for the result after applying a function to an input?

Output number (C) Signup and view all the answers

What is the formula for the area of a trapezium?

A = (a + b) / 2h (B) Signup and view all the answers

What is the formula for the circumference of a circle?

C = 2πr (D) Signup and view all the answers

What is the sum of angles on a straight line?

180° (D) Signup and view all the answers

What is the property of a regular polygon?

A polygon with all sides and angles equal (A) Signup and view all the answers

What is the formula for the area of a sector?

A = θ/360 × πr^2 (A) Signup and view all the answers

What type of angles are formed when two lines intersect?

Vertically Opposite Angles (A) Signup and view all the answers

What is the term for angles on the same side of the transversal and inside the parallel lines?

Co-Interior Angles (C) Signup and view all the answers

What is the formula for the sum of interior angles of a regular polygon?

(n - 2) × 180° (C) Signup and view all the answers

How do you construct a perpendicular line through a point not on the line segment?

Draw a circle with one end point of the line segment as the center and passing through the given point (A) Signup and view all the answers

What is the formula to find the area of a square?

A = s^2 (A) Signup and view all the answers

What is the term for a polygon with all sides and angles equal?

Regular Polygon (D) Signup and view all the answers

What is the formula for the area of a circle?

A = πr^2 (C) Signup and view all the answers

What is the formula for the perimeter of a polygon?

P = sum of all side lengths (A) Signup and view all the answers

What is the primary tool used to construct a circle with a given radius?

Compass (D) Signup and view all the answers

What is the sum of interior angles of a triangle?

180° (B) Signup and view all the answers

How do you ensure all angles are equal when constructing a square or rectangle?

Use a set square to ensure all angles are 90° (A) Signup and view all the answers

What is the name of the theorem that relates to right triangles?

Pythagorean Theorem (B) Signup and view all the answers

What is the formula for the diagonal of a rectangle?

d = √(l^2 + w^2) (C) Signup and view all the answers

What is the key to constructing a rhombus?

Use a ruler to draw equal sides (B) Signup and view all the answers

What is the property of interior angles of a triangle?

The sum of interior angles is 180° (C) Signup and view all the answers

What type of angle is formed when a transversal intersects parallel lines?

Corresponding Angles (A) Signup and view all the answers

How do you determine the angle between vertices when constructing a regular polygon?

Divide 360° by the number of sides (B) Signup and view all the answers

What is the formula to find the perimeter of a rectangle?

P = 2(l + w) (C) Signup and view all the answers

What is the name of the shape with opposite sides equal and parallel?

Parallelogram (A) Signup and view all the answers

What is the primary tool used to construct parallel lines in a parallelogram?

Set square (B) Signup and view all the answers

What is the minimum condition for congruency of two triangles when given two sides and an included angle?

Two Sides and an Included Angle (SAS) (D) Signup and view all the answers

What is the formula for the area of a triangle?

A = 1/2 × base × height (D) Signup and view all the answers

What is the condition for congruency of two triangles when given a right angle, the hypotenuse, and one other side?

Right Angle, Hypotenuse, and a Side (RHS) (D) Signup and view all the answers

What is the sum of interior angles in a polygon with n sides?

(n - 2) × 180° (C) Signup and view all the answers

What is the formula for the area of a circle?

A = πr^2 (A) Signup and view all the answers

What is the formula for the perimeter of a triangle?

P = a + b + c (C) Signup and view all the answers

How many interior opposite angles does an exterior angle of a triangle have?

2 (B) Signup and view all the answers

What is the minimum condition for congruency of two triangles when given one side and two angles?

One Side and Two Angles (SAA) (D) Signup and view all the answers

What is the formula for the area of a sector?

A = θ/360 × πr^2 (A) Signup and view all the answers

What is the formula for the circumference of a circle?

C = 2πr (A) Signup and view all the answers

What is the purpose of creating a table of values when drawing graphs of functions?

To identify the input and output values (C) Signup and view all the answers

What is the relationship between the gradients of two perpendicular lines?

The gradients are negative reciprocals (A) Signup and view all the answers

What is the term for the point where the graph crosses the x-axis?

Intercept (B) Signup and view all the answers

What is the condition for two lines to be perpendicular?

The sum of the angles is 90° (A) Signup and view all the answers

What is the term for the angle formed when two lines intersect?

Vertically opposite angle (A) Signup and view all the answers

What is the purpose of identifying supplementary angles in geometry?

To find the sum of the angles on a straight line (A) Signup and view all the answers

What is the relationship between the angles formed when a transversal intersects two parallel lines?

The angles are equal (A) Signup and view all the answers

What is the term for the angle formed when two lines intersect to form equal angles of 90°?

Perpendicular angle (B) Signup and view all the answers

What is the purpose of measuring angles in a graph?

To check the properties of parallel lines and transversals (B) Signup and view all the answers

What is the term for the angles formed on opposite sides of a transversal but inside the two intersected lines?

Co-interior angles (A) Signup and view all the answers

What is the primary purpose of representing relationships between variables in multiple ways?

To provide a comprehensive understanding of the relationship (B) Signup and view all the answers

What is the key feature to consider when interpreting the graph of a function?

All of the above (D) Signup and view all the answers

What is the primary purpose of flow diagrams in understanding functions?

To visualize the calculations needed to transform input into output (B) Signup and view all the answers

What is the term for the quantity that can change in a function?

Variable (A) Signup and view all the answers

What is the formula for calculating the gradient of a line passing through two points?

(y_2 - y_1) / (x_2 - x_1) (A) Signup and view all the answers

What is the primary purpose of drawing graphs in functions?

To visualize the relationship between variables (A) Signup and view all the answers

What is the term for the result after applying a function to an input?

Output number (C) Signup and view all the answers

What is the relationship between the gradient of a line and the ratio of the vertical change to the horizontal change between two points on the line?

The gradient is equal to the ratio of the vertical change to the horizontal change. (D) Signup and view all the answers

What is the term for the specific output corresponding to a given input in a function?

Function value (A) Signup and view all the answers

Which of the following representations is most suitable for showing the relationship between two variables when the input values are not uniformly spaced?

Graph (B) Signup and view all the answers

What is the term for the angles formed when two lines intersect, and the sum of these angles is 180°?

Supplementary angles (D) Signup and view all the answers

A function has an input value of 2 and an output value of 5. What is the output value when the input value is 4?

Cannot be determined from the given information (A) Signup and view all the answers

What is the essential tool used to construct a regular polygon with a given number of sides?

Protractor (C) Signup and view all the answers

What is the relationship between the gradients of two perpendicular lines?

The gradients are negative reciprocals of each other. (A) Signup and view all the answers

What is the key to constructing a square or rectangle?

Using a ruler to draw four equal sides for a square or two pairs of equal sides for a rectangle (D) Signup and view all the answers

What is the term for the angle formed when a transversal intersects two parallel lines, and the angle is inside the two lines?

Co-interior angle (A) Signup and view all the answers

What is the primary tool used to construct a circle with a given radius?

Compass (C) Signup and view all the answers

What is the key to constructing a parallelogram?

Using a compass to draw parallel opposite sides (A) Signup and view all the answers

What is the purpose of creating a table of values when drawing a graph of a function?

To choose a range of input values to plot on the graph. (D) Signup and view all the answers

What is the formula used to determine the angle between vertices when constructing a regular polygon?

360° / number of sides (B) Signup and view all the answers

What is the term for the value of a function when the input value is zero?

y-intercept (A) Signup and view all the answers

What is the relationship between the number of angles formed when two lines intersect, and the number of lines?

The number of angles is twice the number of lines. (A) Signup and view all the answers

What is the term for the process of measuring angles to check their properties when drawing a graph of angles and lines?

Measurement (B) Signup and view all the answers

What is the relationship between the angles formed when two lines intersect?

They are equal. (A) Signup and view all the answers

What is the sum of the interior angles of a quadrilateral?

360° (D) Signup and view all the answers

What is the name of the theorem that relates to the sum of squares of the lengths of the legs of a right triangle?

Pythagorean theorem (D) Signup and view all the answers

What is the condition for two angles to be supplementary?

Their sum is 180°. (C) Signup and view all the answers

What is the name of the shape with opposite sides equal and parallel, and all angles equal to 90°?

Square (D) Signup and view all the answers

What is the formula for the area of a parallelogram?

A = b × h (D) Signup and view all the answers

What is the name of the angle formed when two lines intersect to form equal angles of 90°?

Right angle (C) Signup and view all the answers

What is the relationship between the corresponding angles formed when a transversal intersects parallel lines?

They are equal. (A) Signup and view all the answers

What is the formula for the perimeter of a rectangle?

P = 2(l + w) (A) Signup and view all the answers

What is the name of the shape with all sides and angles equal?

Regular polygon (A) Signup and view all the answers

What is the minimum condition for congruency of two triangles when given two sides and an angle that is not included?

Two sides and an angle not included (B) Signup and view all the answers

What is the formula for the area of a triangle when given the base and height?

A = 1/2 × base × height (B) Signup and view all the answers

What is the relationship between an exterior angle and its interior opposite angles in a triangle?

The exterior angle is equal to the sum of the interior opposite angles (C) Signup and view all the answers

What is the condition for congruency of two triangles when given a right angle, the hypotenuse, and one other side?

RHS (A) Signup and view all the answers

What is the formula for the perimeter of a triangle?

P = a + b + c (D) Signup and view all the answers

What is the formula for the area of a circle?

A = πr^2 (C) Signup and view all the answers

What is the formula for the arc length of a circle?

L = θ/360 × 2πr (D) Signup and view all the answers

What is the formula for the area of a sector of a circle?

A = θ/360 × πr^2 (D) Signup and view all the answers

What is the formula for the sum of interior angles of a regular polygon?

Sum = (n - 2) × 180° (C) Signup and view all the answers

What is the formula for the area of a regular polygon?

A = 1/4 n s^2 cot(π/n) (B) Signup and view all the answers

What is the formula for the area of a trapezium?

A = 1/2 × (a + b) × h (B) Signup and view all the answers

What is the formula for the sum of interior angles of a regular polygon?

(n - 2) × 180° (A) Signup and view all the answers

What is the formula for the area of a sector?

A = θ/360 × π × r^2 (C) Signup and view all the answers

What is the formula for the arc length of a sector?

L = θ/360 × 2 × π × r (D) Signup and view all the answers

What is the formula for the circumference of a circle?

C = 2 × π × r (A) Signup and view all the answers

What is the formula for the area of a circle?

A = π × r^2 (D) Signup and view all the answers

What is the property of a regular polygon?

All sides and angles are equal (D) Signup and view all the answers

What is the method for constructing a perpendicular line through a point not on the line segment?

Draw a circle with one end point of the line segment as the center and passing through the given point (C) Signup and view all the answers

What is the formula for the area of a triangle?

A = 1/2 × base × height (B) Signup and view all the answers

What is the property of interior and exterior angles of a triangle?

The exterior angle is equal to the sum of the two interior angles (D) Signup and view all the answers

What is the primary method used to draw a circle with a given radius?

Using a compass to draw a circle from a central point (D) Signup and view all the answers

When constructing a parallelogram, how do you ensure opposite angles are equal?

By drawing the parallel opposite sides and using a protractor to measure angles (D) Signup and view all the answers

What is the key to constructing a rhombus?

Using a compass to draw four equal sides from a single vertex (D) Signup and view all the answers

When constructing a regular polygon, how do you determine the angle between vertices?

By dividing 360° by the number of sides (D) Signup and view all the answers

What is the essential tool used to construct a square or rectangle?

A ruler (C) Signup and view all the answers

What is the primary purpose of a graph in understanding functions?

To visualize the rate of change between variables (C) Signup and view all the answers

What is the key concept in understanding the relationship between input and output values in a function?

Determining the formula (C) Signup and view all the answers

What does the continuity of a graph indicate?

The graph has no breaks or discontinuities (C) Signup and view all the answers

Which of the following representations of relationships is most suitable for visualizing patterns?

Graphs (D) Signup and view all the answers

Which of the following representations is most useful for identifying the input-output relationship?

Table of values (D) Signup and view all the answers

What is the key feature of a graph that indicates the rate of change between variables?

Slope/Gradient (C) Signup and view all the answers

When interpreting graphs, what does the shape of the graph indicate?

The type of relationship (A) Signup and view all the answers

What is the term for angles whose sum is 180°?

Supplementary angles (B) Signup and view all the answers

What is the purpose of a formula in representing relationships between variables?

To algebraically express the relationship between variables (B) Signup and view all the answers

What is represented by a point on a graph?

A specific input and corresponding output value (D) Signup and view all the answers

When two lines intersect, what is the relationship between the vertically opposite angles?

They are equal (B) Signup and view all the answers

What is the role of a table in understanding functions?

To display values of input and corresponding output (C) Signup and view all the answers

What is the term for the angles formed when a transversal intersects two or more parallel lines?

Corresponding angles (B) Signup and view all the answers

What is the primary difference between a table and a graph in representing relationships between variables?

A table displays numerical values, while a graph provides a visual representation (A) Signup and view all the answers

What is the sum of co-interior angles when a transversal intersects two parallel lines?

180° (B) Signup and view all the answers

What is the purpose of drawing a graph of a function?

To visualize the relationship between variables (D) Signup and view all the answers

What is the key concept in understanding the geometry of straight lines?

Angle relationships (A) Signup and view all the answers

What is the term for the lines that intersect to form equal angles of 90°?

Perpendicular lines (B) Signup and view all the answers

What is the sum of co-interior angles when two lines intersect?

180° (D) Signup and view all the answers

What is the name of the method used to construct a perpendicular line through a point on the line segment?

Case 2: Using Circles (C) Signup and view all the answers

What is the formula for the area of a sector of a circle?

A = (θ/360) × πr² (B) Signup and view all the answers

What is the property of a regular polygon?

All sides and angles are equal (A) Signup and view all the answers

What is the formula for the perimeter of a polygon?

P = n × s (B) Signup and view all the answers

What is the name of the angle formed when two lines intersect to form equal angles of 90°?

Right Angle (A) Signup and view all the answers

What is the formula for the area of a trapezium?

A = (1/2) × (a + b) × h (A) Signup and view all the answers

What is the property of the diagonal of a rectangle?

d = √(l² + w²) (B) Signup and view all the answers

What is the formula for the sum of interior angles of a regular polygon?

(n - 2) × 180° (C) Signup and view all the answers

What is the method used to construct a 45° angle?

Bisecting a 90° angle (A) Signup and view all the answers

What is the sum of angles on a straight line formed by two lines intersecting at a point?

180° (B) Signup and view all the answers

Which of the following types of angles are formed when a transversal intersects parallel lines?

Alternate angles (A), Corresponding angles (C) Signup and view all the answers

What is the sum of interior angles of a regular polygon with 8 sides?

720° (D) Signup and view all the answers

What is the name of the theorem that relates to the area of a triangle?

Heron's Formula (C) Signup and view all the answers

What is the term for a polygon with all sides and angles equal?

Regular Polygon (A) Signup and view all the answers

What is the name of the shape with opposite sides equal and parallel?

Parallelogram (D) Signup and view all the answers

What is the sum of co-interior angles formed by a transversal intersecting two parallel lines?

180° (D) Signup and view all the answers

What is the name of the shape with all sides equal?

Rhombus (A) Signup and view all the answers

What is the purpose of measuring angles in a graph?

To check the properties of parallel lines and transversals (D) Signup and view all the answers

What is the minimum condition for congruency of two triangles when given two sides and an angle not included?

Two sides and an angle not included (B) Signup and view all the answers

What is the term for angles formed when two lines intersect to form equal angles of 90°?

Perpendicular Angles (D) Signup and view all the answers

What is the formula for the area of a triangle using Heron's formula?

A = sqrt(s(s - a)(s - b)(s - c)) (B) Signup and view all the answers

How many interior opposite angles does an exterior angle of a triangle have?

Two (D) Signup and view all the answers

What is the condition for congruency of two triangles when given a right angle, the hypotenuse, and one other side?

RHS (D) Signup and view all the answers

What is the formula for the area of a sector?

A = 1/2 * θ/360 * 2πr (A) Signup and view all the answers

What is the formula for the perimeter of a triangle?

P = a + b + c (D) Signup and view all the answers

How do you construct a rhombus?

Using a ruler to draw the diagonals and ensure they are perpendicular (C) Signup and view all the answers

Gr 9 MATH: Term Test 3

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Questions and Answers

What is the gradient of a line passing through points (2, 3) and (4, 5)?

Which of the following is NOT a way to represent relationships between variables?

What does the slope of a graph indicate?

What is a function?

What is the term for the value substituted into a function?

What is the purpose of flow diagrams?

What is the term for the result after applying a function to an input?

What does the shape of a graph provide insights into?

What is the sum of interior angles of a triangle?

What type of triangle has all sides and angles equal?

What is the name of the theorem that relates to right triangles?

What is the sum of co-interior angles?

What type of angle is formed when two lines intersect?

What is the name of the shape with all sides and angles equal?

What is the formula for the area of a rectangle?

What type of angle is formed when a transversal intersects parallel lines?

What is the name of the shape with opposite sides equal and parallel?

What is the formula for the perimeter of a square?

What is the formula to calculate the gradient of a line passing through two points (x_1, y_1) and (x_2, y_2)?

What is the purpose of a flow diagram in understanding functions?

What does the slope of a graph indicate?

What is the sum of angles on a straight line?

What are the angles called when two lines intersect to form equal angles of 90°?

What is the term for angles on opposite sides of a transversal but inside the two intersected lines?

What is the purpose of measuring angles in a graph?

What is a function?

What is the term for the value substituted into a function?

What is the term for the specific output corresponding to a given input?

How many interior opposite angles does an exterior angle of a triangle have?

What is the minimum condition for congruency of two triangles when given one side and two angles?

What is the formula for the area of a triangle?

What is the condition for congruency of two triangles when given a right angle, the hypotenuse, and one other side?

What is the formula for the perimeter of a triangle?

How many minimum conditions are there for congruency of two triangles?

What is the formula for the area of a circle?

What is the formula for the circumference of a circle?

What is the formula for the area of a sector?

What is the formula for the sum of interior angles of a regular polygon?

What is the essential tool used to draw a circle with a given radius?

How do you ensure all angles are equal when constructing a square or rectangle?

What is the key to constructing a rhombus?

How do you determine the angle between vertices when constructing a regular polygon?

What is the primary tool used to construct parallel lines in a parallelogram?

What is the formula to find the area of a trapezium?

What is the formula to find the circumference of a circle?

What is the formula to find the area of a sector?

What is the sum of interior angles in a polygon with n sides?

What is the formula to find the area of a regular polygon?

How do you construct a perpendicular line through a point not on the line segment?

What is the property of interior angles in a triangle?

What is the property of angle bisectors in a triangle?

What is the definition of an exterior angle in a triangle?

How do you construct a 45° angle?

What is the primary way to represent the relationship between variables in a graph?

What does the gradient of a line indicate?

What is the key feature to consider when interpreting graphs?

What type of representation shows the calculations needed to transform input into output?

What is the importance of continuity in interpreting graphs?

What is the purpose of a graph in understanding functions?

What is the relationship between the input and output in a function?

What is the term for the point where the graph crosses the axes?

What is the formula for the area of a kite?

What is the formula for the circumference of a circle?

What is the formula for the area of a sector?

What is the formula for the area of a trapezium?

What is the sum of interior angles of a regular polygon with n sides?

What is the construction method to bisect an angle?

What is the property of the three angle bisectors of a triangle?

What is the formula for the perimeter of a polygon with n sides and side length s?

What is the purpose of constructing perpendicular lines?

What is the tool used to construct a circle with a given radius?

What is the sum of angles on a straight line?

What is the name of the shape with all sides and angles equal?

What is the term for angles on opposite sides of a transversal but inside the two intersected lines?

What is the property of corresponding angles when a transversal intersects parallel lines?

What is the sum of co-interior angles?