SAT Math · Topic practice · SAT Math · Unit 4

Geometry & Trigonometry

A mixed exercise set, like a textbook: every problem type this unit covers, shuffled together and getting harder as you go. Work on paper, reveal to check — and hit on any problem for the same kind with new numbers (236 in the pool).

Practice set — quiz with instant feedback and retries.Review the lessons for this unit first.

Exercises

14 of 236 shown

In the triangle shown, two angles measure $35^\circ$ and $40^\circ$ . What is the measure of the third angle?

A rectangle has area $28$ square centimeters and width $4$ centimeters. What is its length, in centimeters?

The right triangle shown has legs of length $3$ and $4$ . What is the length of its hypotenuse?

The graph of $(x + 5)^2 + (y + 4)^2 = 9$ in the $xy$ -plane is a circle. What is the radius of the circle?

A right circular cylinder has volume $12\pi$ cubic centimeters and base radius $2$ centimeters. What is its height, in centimeters?

In right triangle $ABC$ , the right angle is at $C$ and $\sin A = \dfrac{3}{5}$ . What is the value of $\cos B$ ?

Triangles $ABC$ and $DEF$ shown are similar, with $AB = 4$ , $DE = 6$ , and $BC = 10$ . What is the length of $EF$ ?

In the triangle shown, two angles measure $45^\circ$ and $48^\circ$ . What is the measure of the third angle?

A rectangle has area $78$ square centimeters and width $6$ centimeters. What is its length, in centimeters?

10.

A right triangle has hypotenuse $39$ and one leg of length $15$ . What is the length of the other leg?

11.

The graph of $(x + 5)^2 + (y + 1)^2 = 100$ in the $xy$ -plane is a circle. What is the radius of the circle?

12.

A right circular cylinder has volume $135\pi$ cubic centimeters and base radius $3$ centimeters. What is its height, in centimeters?

13.

In right triangle $PQR$ , the right angle is at $R$ , and $\cos P = \dfrac{24}{25}$ . What is the value of $\sin Q$ ?

14.

Triangles $ABC$ and $DEF$ shown are similar, with $AB = 4$ , $DE = 8$ , and $BC = 3$ . What is the length of $EF$ ?