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Name ________________________________ Date _______________________ Geometry A Unit 8 Test Review Part I: Ratios and Proportions In #’s 1-3, write the ratio in lowest terms 1. 8 weeks 10 days 4. Out if 500 people that were in the auditorium, 450 were students, and the rest were teachers. What is the ratio of teachers to students? 2. 6 meters 150 cm 5. A model of a city was 8 feet wide and 6 feet long. If the city is actually 24 miles wide, how long is it? 6. The ratio of water to cleanser in a 7. The ratio of the angles in a quadrilateral container is 7:2. How many gallons is 1:4:5:8. Find the measure of each angle of cleanser are in it if there is 45 gallons in the quadrilateral.. of the mixture? Part II: Similar Figures 8. Definition of Similar Figures A. Corresponding angles in similar figures are _________________________. B. Corresponding sides of similar figures are not equal. Instead, they are _________________________________. X 25 W 9. Scale Factor Questions a) What is the scale factor of LMNP to WXYZ? 18 5 L b) What is the ratio of the perimeter of LMNP to the perimeter of WXYZ? M 6 P Y Z N c) What is the ratio of the area of LMNP to the area of WXYZ? 10. Proving that two triangles are similar. There are three “shortcuts” for showing that triangles are similar. They are: ___________, _____________ and _____________ 11. B In the following, tell a) which shortcut you tried to use to determine whether the triangles were similar. b) answer the question “are the triangles similar?” c) Give the similarity statement. d) Give the statement of proportionality. A G H 12. 107o C o 10 40 20 E J 40o 126 63 o D 43 F L K a) “Shortcut” ___________ a) “Shortcut” ___________ b) YES or NO b) YES or NO c) __ __ __ ~ __ __ __ c) __ __ __ ~ __ __ __ d) d) X D 13. A 12 15 F 14. 8 10 E Z W B C G Y a) “Shortcut” ___________ a) “Shortcut” ___________ b) YES or NO b) YES or NO c) __ __ __ ~ __ __ __ c) __ __ __ ~ __ __ __ d) K 15. d) 16. T 6 P J 12 33 9 22 R H M S 44 Q L a) “Shortcut” ___________ a) “Shortcut” ___________ b) YES or NO b) YES or NO c) __ __ __ ~ __ __ __ c) __ __ __ ~ __ __ __ d) U d) Find the missing sides, angles or variables. ABC ~ DEF 17. 18. GHJK ~ LMNP E x 71o A B 82o 8 3 D 10 F C 25 AB = _________ F = ________ J 15 K 2x L H 83 – yo 18 8y + 2 P 60 o 10 G M x = _______ y = ________ N 19. STV ~ WXY b+2 S T W 15 12 b+8 V a Y a = ________ X 30 b = ________ III. Parallel Lines and Other Proportionality 20. Find a 21. Find b. 8 28 24 b a 21 6 5 a = _______ b = _______ 22. Find c 12 23. Find RS c R 2 5 8 3 3 2 S c = ________ RS = ________