Angles & Lines
Two angles are supplementary. One angle measures 65º. What is the measure of the other angle?
115º
A triangle has angles of 50º and 70º. What is the measure of the third angle?
60º
What is the area of a rectangle with a length of 8 and a width of 5?
40 square units
In a right triangle, what is the definition of sine?
Sine = Opposite / Hypotenuse
A square has a side length of 6. What is the length of its diagonal?
6√2
Two parallel lines are cut by a transversal. One corresponding angle measures 72º. What is the measure of the other corresponding angle?
72º
An isosceles triangle has two equal angels measuring 45º each. What is the third angle?
90º
A square has an area of 81 square units. What is its perimeter?
36 units
If sin(θ)=3/5, and the hypotenuse is 20, what is the length of the opposite side?
12
A rectangle's length is twice its width. Its perimeter is 36. What is its area?
72 square units
Two angles are complementary. One angle is twice the other. What is the measure of the larger angle?
60º
A right triangle has legs of length 6 and 8. What is the length of its hypotenuse?
10
A triangle has a base of 12 and a height of 7. What is its area?
42 square units
A right triangle has an opposite side of 6, an adjacent side of 8, and the hypotenuse is 10. What is tan(θ)?
3/4
A circle has a diameter of 14. What is its circumference in terms of π?
14π
Two parallel lines are cut by a transversal. One angle measures 3x+10, and its alternate interior angle measures 5x-30. What is x?
20
A triangle has side lengths 7, 24, and 25. What type of triangle is it?
Right triangle
A circle has a radius of 5. What is its area in terms of π?
25π
A right triangle has a hypotenuse of 10 and an angle of 30º. What is the length of the side opposite the 30º angle?
A right triangle has legs of length 9 and 12. What is its area?
Two parallel lines are cut by a transversal. Same-side interior angels measure 2x+15 and 3x+15. What is the measurement of the larger angle?
105º
A right triangle has a hypotenuse of 13 and one leg of 5. What is the length of the other leg?
12
A rectangle has an area of 72 square units and a length of 9 units. What is its perimeter?
34 units
A right triangle has an adjacent side of 12, a hypotenuse of 13, and an opposite side of 5. What is cos(θ)?
12/13
A 45º-45º-90º triangle has a hypotenuse of 10√2. What is the length of each leg?
10