Act Geometry Practice

A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?

• 15

• 25

• 50

• 100

• 125

In the figure below, line m is parallel to line n, and line t is a transversal crossing both m and n. Which of the following lists has 3 angles that are all equal in measure?

As shown in the figure below, ∆ABC is isosceles with the length of AB equal to the length of AC. The measure of ∠A is 40° and points B, C, and D are collinear. What is the measure of ∠ACD ?

• 8

• 16

• 24

• 32

If this is a right triangle, find the measure of x to the nearest hundredth.

• 42°

• 41.98°

• 41.99°

• 45°

• F

• G

• H

• I

• J

Answer explanation

Substitute in the values of x and y into both expressions, and then subtract the value of the second expression from the value of the first.

• F

• G

• H

• I

• J

Answer explanation

You can create congruent triangles based on the given information. Then, by CPCTC, you can prove that the angles will be equal.

• F

• G

• H

• I

• J

Answer explanation

"3 less" means to subtract 3 and "twice" means to multiply by 2. Thus, 2w-3 represents the length.

• A

• B

• C

• D

• E

Answer explanation

If those two sides must be parallel, then we can use the Same Side Interior Angles Theorem to prove the angles are supplementary (add to 180). Thus, the equation we need to solve is 70+x=180.