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)?

  • 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?

    <p>A relationship between two variables where each input has exactly one output</p> Signup and view all the answers

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

    <p>Input number</p> Signup and view all the answers

    What is the purpose of flow diagrams?

    <p>To show the calculations needed to transform input into output</p> Signup and view all the answers

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

    <p>Output number</p> Signup and view all the answers

    What does the shape of a graph provide insights into?

    <p>The nature of the relationship between variables</p> Signup and view all the answers

    What is the sum of interior angles of a triangle?

    <p>180°</p> Signup and view all the answers

    What type of triangle has all sides and angles equal?

    <p>Equilateral Triangle</p> Signup and view all the answers

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

    <p>Pythagorean Theorem</p> Signup and view all the answers

    What is the sum of co-interior angles?

    <p>180°</p> Signup and view all the answers

    What type of angle is formed when two lines intersect?

    <p>Vertically Opposite Angle</p> Signup and view all the answers

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

    <p>Regular Polygon</p> Signup and view all the answers

    What is the formula for the area of a rectangle?

    <p>A = l × w</p> Signup and view all the answers

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

    <p>Corresponding Angle</p> Signup and view all the answers

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

    <p>Parallelogram</p> Signup and view all the answers

    What is the formula for the perimeter of a square?

    <p>P = 4s</p> 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)?

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

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

    <p>To illustrate the steps to compute outputs from inputs</p> Signup and view all the answers

    What does the slope of a graph indicate?

    <p>How rapidly the output changes with respect to the input</p> Signup and view all the answers

    What is the sum of angles on a straight line?

    <p>180°</p> Signup and view all the answers

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

    <p>Perpendicular angles</p> Signup and view all the answers

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

    <p>Alternate angles</p> Signup and view all the answers

    What is the purpose of measuring angles in a graph?

    <p>To check the equality of corresponding and alternate angles</p> Signup and view all the answers

    What is a function?

    <p>A relationship between two variables where each input corresponds to exactly one output</p> Signup and view all the answers

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

    <p>Input number</p> Signup and view all the answers

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

    <p>Function value</p> Signup and view all the answers

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

    <p>Two</p> Signup and view all the answers

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

    <p>SAA</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 × base × height</p> 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?

    <p>RHS</p> Signup and view all the answers

    What is the formula for the perimeter of a triangle?

    <p>P = a + b + c</p> Signup and view all the answers

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

    <p>6</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2πr</p> Signup and view all the answers

    What is the formula for the area of a sector?

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

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

    <p>Sum = (n - 2) × 180°</p> Signup and view all the answers

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

    <p>Compass</p> Signup and view all the answers

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

    <p>Using a set square</p> Signup and view all the answers

    What is the key to constructing a rhombus?

    <p>Using a compass to draw four equal sides from a single vertex</p> Signup and view all the answers

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

    <p>Dividing 360° by the number of sides</p> Signup and view all the answers

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

    <p>Set square</p> Signup and view all the answers

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

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

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

    <p>C = 2πr</p> Signup and view all the answers

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

    <p>A = θ/360 × πr^2</p> Signup and view all the answers

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

    <p>(n - 2) × 180°</p> Signup and view all the answers

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

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

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

    <p>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.</p> Signup and view all the answers

    What is the property of interior angles in a triangle?

    <p>The sum of the interior angles is 180°.</p> Signup and view all the answers

    What is the property of angle bisectors in a triangle?

    <p>The three angle bisectors intersect at one point, equidistant from each side of the triangle.</p> Signup and view all the answers

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

    <p>An angle between a side of the triangle and an extended adjacent side.</p> Signup and view all the answers

    How do you construct a 45° angle?

    <p>Draw a 90° angle using the method for constructing perpendicular lines, and then bisect the 90° angle.</p> Signup and view all the answers

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

    <p>Visual representation on a coordinate plane</p> Signup and view all the answers

    What does the gradient of a line indicate?

    <p>The rate of change between variables</p> Signup and view all the answers

    What is the key feature to consider when interpreting graphs?

    <p>The slope/gradient</p> Signup and view all the answers

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

    <p>Flow diagram</p> Signup and view all the answers

    What is the importance of continuity in interpreting graphs?

    <p>It determines whether the graph is a continuous line or has breaks/discontinuities</p> Signup and view all the answers

    What is the purpose of a graph in understanding functions?

    <p>To provide a visual representation of the relationship between variables</p> Signup and view all the answers

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

    <p>Each input has exactly one output</p> Signup and view all the answers

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

    <p>Intercept</p> Signup and view all the answers

    What is the formula for the area of a kite?

    <p>A = 1/2 × d1 × d2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2 × π × r</p> Signup and view all the answers

    What is the formula for the area of a sector?

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

    What is the formula for the area of a trapezium?

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

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

    <p>(n - 2) × 180°</p> Signup and view all the answers

    What is the construction method to bisect an angle?

    <p>Using a compass to draw a circle with the vertex as the center</p> Signup and view all the answers

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

    <p>They intersect at one point, equidistant from each side of the triangle</p> Signup and view all the answers

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

    <p>P = n × s</p> Signup and view all the answers

    What is the purpose of constructing perpendicular lines?

    <p>To construct a square or rectangle</p> Signup and view all the answers

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

    <p>Compass</p> Signup and view all the answers

    What is the sum of angles on a straight line?

    <p>180°</p> Signup and view all the answers

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

    <p>Regular Polygon</p> Signup and view all the answers

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

    <p>Alternate Angles</p> Signup and view all the answers

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

    <p>They are equal</p> Signup and view all the answers

    What is the sum of co-interior angles?

    <p>180°</p> Signup and view all the answers

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

    <p>Pythagorean Theorem</p> 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?

    <p>RHS</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = bh</p> Signup and view all the answers

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

    <p>Parallelogram</p> Signup and view all the answers

    What is the purpose of measuring angles in a graph?

    <p>To determine the properties of parallel lines and transversals</p> Signup and view all the answers

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

    <p>SAS</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 × base × height</p> Signup and view all the answers

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

    <p>2</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2(l + w)</p> 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?

    <p>RHS</p> Signup and view all the answers

    What is the formula for the area of a sector?

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

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

    <p>(n - 2) × 180º</p> Signup and view all the answers

    What is the formula for the area of a rhombus?

    <p>A = 1/2 × d1 × d2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2πr</p> Signup and view all the answers

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

    <p>6</p> Signup and view all the answers

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

    <p>Compass</p> Signup and view all the answers

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

    <p>Set square</p> Signup and view all the answers

    What is the key to constructing a rhombus?

    <p>Using a compass to draw four equal sides from a single vertex</p> Signup and view all the answers

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

    <p>Divide 360° by the number of sides</p> Signup and view all the answers

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

    <p>Ruler</p> Signup and view all the answers

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

    <p>To plot the input-output pairs on a coordinate plane</p> Signup and view all the answers

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

    <p>The sum of the angles is 180°</p> Signup and view all the answers

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

    <p>Perpendicular angles</p> Signup and view all the answers

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

    <p>To determine the corresponding angles</p> 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?

    <p>Alternate angles</p> 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)?

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

    What is the purpose of drawing graphs of functions?

    <p>To visualize the relationship between variables</p> Signup and view all the answers

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

    <p>180°</p> Signup and view all the answers

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

    <p>Input number</p> Signup and view all the answers

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

    <p>To measure the angles formed by the lines</p> Signup and view all the answers

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

    <p>To visualize the relationship between variables</p> Signup and view all the answers

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

    <p>Function</p> 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?

    <p>Slope/Gradient</p> Signup and view all the answers

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

    <p>Intercepts</p> Signup and view all the answers

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

    <p>All of the above</p> Signup and view all the answers

    What does the continuity of a graph indicate?

    <p>Whether the graph is a continuous line or has breaks/discontinuities</p> Signup and view all the answers

    What is the term for a quantity that can change?

    <p>Variable</p> Signup and view all the answers

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

    <p>Output number</p> Signup and view all the answers

    What is the formula for the area of a trapezium?

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

    What is the formula for the circumference of a circle?

    <p>C = 2πr</p> Signup and view all the answers

    What is the sum of angles on a straight line?

    <p>180°</p> Signup and view all the answers

    What is the property of a regular polygon?

    <p>A polygon with all sides and angles equal</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = θ/360 × πr^2</p> Signup and view all the answers

    What type of angles are formed when two lines intersect?

    <p>Vertically Opposite Angles</p> Signup and view all the answers

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

    <p>Co-Interior Angles</p> Signup and view all the answers

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

    <p>(n - 2) × 180°</p> Signup and view all the answers

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

    <p>Draw a circle with one end point of the line segment as the center and passing through the given point</p> Signup and view all the answers

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

    <p>A = s^2</p> Signup and view all the answers

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

    <p>Regular Polygon</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula for the perimeter of a polygon?

    <p>P = sum of all side lengths</p> Signup and view all the answers

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

    <p>Compass</p> Signup and view all the answers

    What is the sum of interior angles of a triangle?

    <p>180°</p> Signup and view all the answers

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

    <p>Use a set square to ensure all angles are 90°</p> Signup and view all the answers

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

    <p>Pythagorean Theorem</p> Signup and view all the answers

    What is the formula for the diagonal of a rectangle?

    <p>d = √(l^2 + w^2)</p> Signup and view all the answers

    What is the key to constructing a rhombus?

    <p>Use a ruler to draw equal sides</p> Signup and view all the answers

    What is the property of interior angles of a triangle?

    <p>The sum of interior angles is 180°</p> Signup and view all the answers

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

    <p>Corresponding Angles</p> Signup and view all the answers

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

    <p>Divide 360° by the number of sides</p> Signup and view all the answers

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

    <p>P = 2(l + w)</p> Signup and view all the answers

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

    <p>Parallelogram</p> Signup and view all the answers

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

    <p>Set square</p> Signup and view all the answers

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

    <p>Two Sides and an Included Angle (SAS)</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 × base × height</p> 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?

    <p>Right Angle, Hypotenuse, and a Side (RHS)</p> Signup and view all the answers

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

    <p>(n - 2) × 180°</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula for the perimeter of a triangle?

    <p>P = a + b + c</p> Signup and view all the answers

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

    <p>2</p> Signup and view all the answers

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

    <p>One Side and Two Angles (SAA)</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = θ/360 × πr^2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2πr</p> Signup and view all the answers

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

    <p>To identify the input and output values</p> Signup and view all the answers

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

    <p>The gradients are negative reciprocals</p> Signup and view all the answers

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

    <p>Intercept</p> Signup and view all the answers

    What is the condition for two lines to be perpendicular?

    <p>The sum of the angles is 90°</p> Signup and view all the answers

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

    <p>Vertically opposite angle</p> Signup and view all the answers

    What is the purpose of identifying supplementary angles in geometry?

    <p>To find the sum of the angles on a straight line</p> Signup and view all the answers

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

    <p>The angles are equal</p> Signup and view all the answers

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

    <p>Perpendicular angle</p> Signup and view all the answers

    What is the purpose of measuring angles in a graph?

    <p>To check the properties of parallel lines and transversals</p> 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?

    <p>Co-interior angles</p> Signup and view all the answers

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

    <p>To provide a comprehensive understanding of the relationship</p> Signup and view all the answers

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

    <p>All of the above</p> Signup and view all the answers

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

    <p>To visualize the calculations needed to transform input into output</p> Signup and view all the answers

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

    <p>Variable</p> Signup and view all the answers

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

    <p>(y_2 - y_1) / (x_2 - x_1)</p> Signup and view all the answers

    What is the primary purpose of drawing graphs in functions?

    <p>To visualize the relationship between variables</p> Signup and view all the answers

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

    <p>Output number</p> 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?

    <p>The gradient is equal to the ratio of the vertical change to the horizontal change.</p> Signup and view all the answers

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

    <p>Function value</p> 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?

    <p>Graph</p> 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°?

    <p>Supplementary angles</p> 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?

    <p>Cannot be determined from the given information</p> Signup and view all the answers

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

    <p>Protractor</p> Signup and view all the answers

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

    <p>The gradients are negative reciprocals of each other.</p> Signup and view all the answers

    What is the key to constructing a square or rectangle?

    <p>Using a ruler to draw four equal sides for a square or two pairs of equal sides for a rectangle</p> 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?

    <p>Co-interior angle</p> Signup and view all the answers

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

    <p>Compass</p> Signup and view all the answers

    What is the key to constructing a parallelogram?

    <p>Using a compass to draw parallel opposite sides</p> Signup and view all the answers

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

    <p>To choose a range of input values to plot on the graph.</p> Signup and view all the answers

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

    <p>360° / number of sides</p> Signup and view all the answers

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

    <p>y-intercept</p> 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?

    <p>The number of angles is twice the number of lines.</p> 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?

    <p>Measurement</p> Signup and view all the answers

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

    <p>They are equal.</p> Signup and view all the answers

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

    <p>360°</p> 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?

    <p>Pythagorean theorem</p> Signup and view all the answers

    What is the condition for two angles to be supplementary?

    <p>Their sum is 180°.</p> 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°?

    <p>Square</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = b × h</p> Signup and view all the answers

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

    <p>Right angle</p> Signup and view all the answers

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

    <p>They are equal.</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2(l + w)</p> Signup and view all the answers

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

    <p>Regular polygon</p> 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?

    <p>Two sides and an angle not included</p> Signup and view all the answers

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

    <p>A = 1/2 × base × height</p> Signup and view all the answers

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

    <p>The exterior angle is equal to the sum of the interior opposite angles</p> 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?

    <p>RHS</p> Signup and view all the answers

    What is the formula for the perimeter of a triangle?

    <p>P = a + b + c</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

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

    <p>L = θ/360 × 2πr</p> Signup and view all the answers

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

    <p>A = θ/360 × πr^2</p> Signup and view all the answers

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

    <p>Sum = (n - 2) × 180°</p> Signup and view all the answers

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

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

    What is the formula for the area of a trapezium?

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

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

    <p>(n - 2) × 180°</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = θ/360 × π × r^2</p> Signup and view all the answers

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

    <p>L = θ/360 × 2 × π × r</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2 × π × r</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = π × r^2</p> Signup and view all the answers

    What is the property of a regular polygon?

    <p>All sides and angles are equal</p> Signup and view all the answers

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

    <p>Draw a circle with one end point of the line segment as the center and passing through the given point</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 × base × height</p> Signup and view all the answers

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

    <p>The exterior angle is equal to the sum of the two interior angles</p> Signup and view all the answers

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

    <p>Using a compass to draw a circle from a central point</p> Signup and view all the answers

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

    <p>By drawing the parallel opposite sides and using a protractor to measure angles</p> Signup and view all the answers

    What is the key to constructing a rhombus?

    <p>Using a compass to draw four equal sides from a single vertex</p> Signup and view all the answers

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

    <p>By dividing 360° by the number of sides</p> Signup and view all the answers

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

    <p>A ruler</p> Signup and view all the answers

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

    <p>To visualize the rate of change between variables</p> Signup and view all the answers

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

    <p>Determining the formula</p> Signup and view all the answers

    What does the continuity of a graph indicate?

    <p>The graph has no breaks or discontinuities</p> Signup and view all the answers

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

    <p>Graphs</p> Signup and view all the answers

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

    <p>Table of values</p> Signup and view all the answers

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

    <p>Slope/Gradient</p> Signup and view all the answers

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

    <p>The type of relationship</p> Signup and view all the answers

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

    <p>Supplementary angles</p> Signup and view all the answers

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

    <p>To algebraically express the relationship between variables</p> Signup and view all the answers

    What is represented by a point on a graph?

    <p>A specific input and corresponding output value</p> Signup and view all the answers

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

    <p>They are equal</p> Signup and view all the answers

    What is the role of a table in understanding functions?

    <p>To display values of input and corresponding output</p> Signup and view all the answers

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

    <p>Corresponding angles</p> Signup and view all the answers

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

    <p>A table displays numerical values, while a graph provides a visual representation</p> Signup and view all the answers

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

    <p>180°</p> Signup and view all the answers

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

    <p>To visualize the relationship between variables</p> Signup and view all the answers

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

    <p>Angle relationships</p> Signup and view all the answers

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

    <p>Perpendicular lines</p> Signup and view all the answers

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

    <p>180°</p> 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?

    <p>Case 2: Using Circles</p> Signup and view all the answers

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

    <p>A = (θ/360) × πr²</p> Signup and view all the answers

    What is the property of a regular polygon?

    <p>All sides and angles are equal</p> Signup and view all the answers

    What is the formula for the perimeter of a polygon?

    <p>P = n × s</p> Signup and view all the answers

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

    <p>Right Angle</p> Signup and view all the answers

    What is the formula for the area of a trapezium?

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

    What is the property of the diagonal of a rectangle?

    <p>d = √(l² + w²)</p> Signup and view all the answers

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

    <p>(n - 2) × 180°</p> Signup and view all the answers

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

    <p>Bisecting a 90° angle</p> Signup and view all the answers

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

    <p>180°</p> Signup and view all the answers

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

    <p>Alternate angles</p> Signup and view all the answers

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

    <p>720°</p> Signup and view all the answers

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

    <p>Heron's Formula</p> Signup and view all the answers

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

    <p>Regular Polygon</p> Signup and view all the answers

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

    <p>Parallelogram</p> Signup and view all the answers

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

    <p>180°</p> Signup and view all the answers

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

    <p>Rhombus</p> Signup and view all the answers

    What is the purpose of measuring angles in a graph?

    <p>To check the properties of parallel lines and transversals</p> 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?

    <p>Two sides and an angle not included</p> Signup and view all the answers

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

    <p>Perpendicular Angles</p> Signup and view all the answers

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

    <p>A = sqrt(s(s - a)(s - b)(s - c))</p> Signup and view all the answers

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

    <p>Two</p> 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?

    <p>RHS</p> Signup and view all the answers

    What is the formula for the area of a sector?

    <p>A = 1/2 * θ/360 * 2πr</p> Signup and view all the answers

    What is the formula for the perimeter of a triangle?

    <p>P = a + b + c</p> Signup and view all the answers

    How do you construct a rhombus?

    <p>Using a ruler to draw the diagonals and ensure they are perpendicular</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = b * h</p> Signup and view all the answers

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

    <p>(n - 2) * 180°</p> Signup and view all the answers

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

    <p>Compass</p> Signup and view all the answers

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