1. Geometry Topics Name: __________________________
Unit 6 Review – Date: ___________________________
Directions: Please complete each problem and show all work. Label answers when possible.
Section 1 – Solve each proportion. Show all work. 1. 2.
x = ______________
x = ______________ 3. 4.
x = ______________
x = ______________ 5. 6.
x = ______________
x = ______________

2. Geometry Topics Name: __________________________
Unit 6 Review – page 2 Date: ___________________________
Section 2 – Simplify each ratio. If the numbers in the ratio have different units, convert all units first. 8. 9.
10. 7.
Section 3 – Solve each word problem. Show all work and label all answers.
11. If 6 pounds of apples cost $9, then how much would 21 pounds of apples cost?
12. The scale on a map is 1 inch equals 5 feet. What is the distance between two points on the map that are 8 ½ inches apart on the map?
Answer: ______________
Answer: ______________
13. The angles in a triangle follow the ratio 2:4:6. Find the measure of each angle.
14. The angles in a pentagon follow the ratio 2:3:4:4:5. Find the measure of each angle.
Answer: _____________________
Answer: _____________________

3. Geometry Topics Name: __________________________
Unit 6 Review – page 3 Date: ___________________________
Section 4 – For each problem, name the similar figures, find the scale factor, and calculate the value of the indicated variables. Please show work. A O
16. I T
15. 4 x 4 4 R A
20° 10 10 x 16 z z H G 8 y T G 5 T R M H 5 y
Figures: ___________________________
Scale Factor: _______________________
x = ______ y = ______ z = ______
Figures: ___________________________
Scale Factor: _______________________
x = ______ y = ______ z = ______
17. R
18. 24 H J L 6 5 A y M T z
65° x S z 16 6 4 x y
25° A T N K B C 4 8 8
Figures: ___________________________
Scale Factor: _______________________
x = ______ y = ______ z = ______
Figures: ___________________________
Scale Factor: _______________________
x = ______ y = ______ z = ______

4. Redraw the two triangles separately.
Geometry Topics Name: __________________________
Unit 6 Review – page 4 Date: ___________________________
Section 4 – For each problem, name the similar figures, find the scale factor, and calculate the value of the indicated variables. Please show work.
20.
19. 3
89° y y 14 4 z 27 x° z 18 4 x 8
89°
47° 18 10
Scale Factor: _______________________
x = ______ y = ______ z = ______
Scale Factor: _______________________
x = ______ y = ______ z = ______
22.
21. 6
Redraw the two triangles separately.
95° z 12 10 y y
96° 15 5 6 9 x
95°
96° 10 x 6 8 4
Scale Factor: _______________________
x = ______ y = ______ z = ______
Scale Factor: _______________________
x = ______ y = ______

5. Geometry Topics Name: __________________________
Unit 6 Review – page 5 Date: ___________________________
Section 5 – Complete each word problem. Show all work and label answers. Draw a diagram for each scenario.
23. A 60 foot tree casts a 80 foot shadow. At the same time, how long would a 5.5 foot tall person’s shadow be?
Answer: _____________________
24. A person is 1.1 meters tall. Their shadow is 3.2 meters. Find the height of a near by flag pole if its shadow is 29 meters.
Answer: _____________________
25. A man 6 feet tall casts a shadow that is 12 feet long. A 200 foot building is nearby. What is the length of its shadow?
Answer: _____________________