38 Questions
What is the formula to find the perimeter of a polygon?
P = Sum of all side lengths
What is the method used to construct a triangle given two sides and an included angle?
SAS
How do you construct a parallelogram?
Draw the base and use a set square to draw the height, and then draw the opposite sides
What is the method used to construct a circle?
Use a compass to draw a circle with a given radius from a central point
How do you construct a regular polygon using a protractor?
Divide 360° by the number of sides
What is the formula to find the diagonal of a rectangle?
d = √(l^2 + w^2)
What is the formula for the area of a triangle?
A = 1/2 × base × height
What is the formula for the perimeter of a triangle?
P = a + b + c
What is the formula for the area of a square?
A = s^2
What is the formula for the circumference of a circle?
C = 2πr
What is the formula for the area of a circle?
A = πr^2
What is the formula for the sum of the interior angles of a regular polygon?
(n - 2) × 180°
What is the formula for the area of a regular polygon?
A = 1/4 × n × s^2 × cot(π/n)
What is the formula for the Pythagorean theorem for a right triangle?
a^2 + b^2 = c^2
What is the primary tool used in constructing a triangle given three sides?
Compass
In constructing a quadrilateral, what ensures opposite angles are equal in a parallelogram?
Drawing parallel opposite sides
What is the primary tool used in constructing a rhombus?
Compass
In constructing a regular polygon, what is the purpose of dividing 360° by the number of sides?
To find the angle between vertices
What is the purpose of using a set square in constructing a parallelogram?
To draw the height
In constructing a quadrilateral, what ensures all angles are 90° in a rectangle?
Use of a set square
What is the area of a Triangle with a base of 8 units and a height of 10 units?
40 square units
A triangle has sides of length 3, 4, and 5 units. What is the semi-perimeter of this triangle?
6 units
What is the perimeter of a square with a side length of 6 units?
24 units
A rectangle has a length of 8 units and a width of 5 units. What is its area?
40 square units
What is the area of a circle with a radius of 7 units?
153.94 square units
A sector has a central angle of 60 degrees and a radius of 8 units. What is its area?
33.51 square units
What is the sum of the interior angles of a regular hexagon?
720 degrees
What is the area of a regular octagon with a side length of 5 units?
159.11 square units
What is the formula to find the area of a triangle using Heron's formula?
$A = \sqrt{s(s - a)(s - b)(s - c)}$
What is the formula to find the perimeter of a rectangle?
$P = 2(l + w)$
What is the formula to find the area of a sector of a circle?
$A = rac{ heta}{360} imes \pi r^2$
What is the purpose of using a compass in constructing a triangle given three sides?
To draw arcs from each endpoint of the base to intersect and form the other vertices
What is the key to ensuring all angles are 90° in a rectangle during construction?
Using a set square to draw the height
What is the formula to find the area of a parallelogram?
$A = b imes h$
What is the formula to find the circumference of a circle?
$C = 2 \pi r$
What is the key to constructing a regular polygon using a protractor?
Dividing 360° by the number of sides
What is the purpose of using a protractor in constructing a triangle given two angles and an included side?
To measure the given angles
What is the primary tool used in constructing a circle?
Compass
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