Name: ________________________________________
Date: _________________ Per:_________
CPM Geometry Review Worksheet
1.) Use the geometric properties and theorems you have learned to solve for 𝑥 in each diagram and
then write the property or theorem you used.
a.)
b.)
c.)
d.)
2.) Find the area of each shape or its shaded region below. Be sure to include the appropriate units of
measurement. SHOW ALL WORK!
3.) The triangle at the right does not have any of the lengths of the sides labeled.
Can the triangle have side lengths below? SHOW ALL WORK!
a.) 1, 2, 3?
c.) 4.5, 2.5, 6?
b.) 7, 8, 9?
d.)9.5, 1.25, 11.75?
4.) Use the Pythagorean Theorem to determine the value of 𝑥. SHOW ALL WORK!
a.)
d.)
b.)
e.)
c.)
f.)
5.) A square has an area of 200 square cm. What is the length of one of its sides? Draw a picture. SHOW
ALL WORK!
6.) A square has an area of 169 square units. What is the perimeter of the square? Draw a picture.
SHOW ALL WORK!
7.) A 15 foot ladder is five feet from a wall. How high on the wall does the ladder touch? Draw a picture.
Round to the nearest tenth. SHOW ALL WORK!
8.) A 9 foot ladder is three feet from a wall. How high on the wall does the ladder touch? Draw a picture.
SHOW ALL WORK!
9.) For each pair of similar figures, state the ratio of similarity and find the value of 𝒙. SHOW ALL WORK!
a.)
b.)
c.)
d.)
e.)
f.)
10.) Use the given information and the figure to find each length. SHOW ALL WORK!
11.) Based on the given information, is each pair of triangles similar? If they are similar, write the
similarity statement. Use a flowchart to justify your answer completely. SHOW ALL WORK!