Name ___________________________________________ GEOMETRY Review Sheet Chapter 7 Name ___________________________________________ I) Solve the proportion. II) Write a proportion then solve. 3) If a 6-foot post casts a shadow that is 8 foot long, how tall is an antenna that casts a 60-foot shadow at the same time. III) Each pair of polygons is similar. Find the value of x and y. If necessary state as a fraction. What is the similarity ratio. 4) 8 24 y 18 14 x 28 (y + 92)° 123° 5) 57° (2x – 1)°

IV) Determine whether each pair of triangles is similar IV) Determine whether each pair of triangles is similar. If it is state the theorem or postulate that helped you determine that, then write a mathematical sentence relating the two triangles. A 6) P P H 23° 67° O G I 7) F T I P N Y 8) B 10 5 A 8 P W 4 O 9) 25 20 20 16 15 12

V) Use the information and the diagram to find the missing measures. C 15 10 x D E 24 y A B 52 W T 15 V S 12 U R 20 VI) Find the value of the variables. 12) 4 10 x 13) 14 6 x y

14) 3y – 1 2x + 2 2y + 3 B E R S 2x + 5 24 x + 7 18 D F A C x 16) x + 5 12 18 E B 25 x + 10 30 2x + 5 D Y F A W C

18) x + 6 30 x 9 VII) Complete each statement. D E C F B G A VIII) Find CF and BD A E AC = 9 9 F 6 B 7.5 C D