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 = ______________

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: _____________________

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 = ______

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 = ______

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: _____________________