Geometry Quiz

Two lines intersect at a point as shown in the figure. If m∠PTQ=120° and m∠STR=(2x-10)°, what is the value of x?

• x=90

• x=55

• x=120

• x=65

A cylindrical trash can is 30 inches high and has a base radius of 7 inches. What is the volume of the trash can? (Leave your answer in terms of π.)

• 1470π in3

• 2940π in3

• 4410π in3

• 5880π in3

Points A, Q, and B are collinear as shown. Point Q divides the distance from A to B in the ratio of

• 2:2

• 2:5

• 5:5

• 5:7

What is the area in square units of the right triangle?

• 4 square units

• 6 square units

• 3 square units

• 5 square units

In the image below, m∠BOC=84°. Which statements are true? Select all that apply.

• m∠BOE=96° because ∠BOC and ∠BOE form a linear pair.

• m∠AOC=96° because ∠BOC and ∠AOC form a linear pair.

• m∠AOE=84° because ∠BOC and ∠AOE are vertical angles.

• m∠AOD=84° because ∠BOC and ∠AOD are vertical angles.

In the diagram below, m∠MRT=54°. Q is a point on the bisector of ∠TRS. If m∠QRS=12°, find m∠MRS.

• 66 degrees.

• 84 degrees.

• 72 degrees.

• 78 degrees.