Transformation
Trigonometry
Angel Theroms
Circle Formula
Volume + Scale
100

A translation on the point (3,-2) by the vector <-4,5>

What is (-1,3)

100

sin(π/3)

What is √3/2

100

In triangle ABC, if ∠A = 60° and ∠B = 50°, find ∠C

What is <c =70

100

Find the circumference of a circle with radius 6.

What is 12π

100

Find the volume of a cube with side length 5 units.

What is 125 units

200

Reflect the line y = 2x over the x-axis. What is the equation of the reflected line

What is y=-2x

200

In a right triangle, if one acute angle measures 30 degrees and the length of the side adjacent to this angle is 6 units, find the length of the hypotenuse

What is 4√3

200

If two angles of a triangle measure 40° and 70°, find the measure of the third angle.

What is 70

200

Calculate the area of a circle with diameter 10 cm

What is 25π sqcm

200

If the scale factor of a cube is 2, by what factor does its volume change?

What is 8

300

Rotate the point (-1, 4) by 90 degrees counterclockwise about the origin

 What is (4,1)

300

the value of tan(45°)

 tan(45°) = 1

300

In quadrilateral ABCD, if ∠A = 110°, ∠B = 70°, and ∠C = 90°, find ∠D

What is 90

300

Find the length of an arc of a circle with radius 8 and central angle 45°

what is π units.

300

Calculate the volume of a cylinder with radius 3 cm and height 8 cm.

What is 72π cubic cm

400

Enlarge the triangle with vertices at (1, 1), (2, 3), and (4, 1) by a scale factor of 2 about the origin

What is (2,2), (4m6) and (8,2)

400

In a right triangle, if the lengths of the two legs are 3 units and 4 units, find the measure of the acute angle opposite the shorter leg

What is 36.87∘

400

In triangle XYZ, if ∠X = 80° and ∠Y = 50°, find ∠Z.

What is 50
400

If the diameter of a circle is 12 cm, find its radius.

What is 6 cm

400

If the scale factor of a sphere is 3, by what factor does its volume change?

What is 27 times

500

Perform a dilation on the circle with center (2, -3) and radius 5, with a scale factor of 3

What is 5*3=15
500

In a right triangle, if one acute angle measures 45 degrees and the length of the hypotenuse is 10 √2 units, find the length of each leg

What is 5√2

500

If the exterior angle of a triangle is 120° and one of its remote interior angles is 40°, find the other remote interior angle

What is 60

500

Calculate the area of the sector of a circle with radius 10 cm and central angle 60°

What is 100π/6 square cm.

500

Find the volume of a cone with radius 4 cm and height 6 cm

What is 32π cubic cm


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