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Name _________________________________ Period_________ Date________________ Created by Corbin/Lyons Dilations and Similarity #3 1. What does similarity mean as it relates to a figures’ sides and angles? π₯ 2. What is the missing number? 48 = 56 35 Show your work. 3. π΄π΅πΆπ· ∼ πΈπΉπΊπ». What measurement would need to be in the denominator to make the equation true? ? =______ Μ Μ Μ Μ ππ·πΆ Μ Μ Μ Μ ππΆπ΅ = Μ Μ Μ Μ ? ππΊπΉ F C B G E H A D 3 Μ Μ Μ Μ is 12mm, how long isΜ Μ Μ Μ Μ 4. If figure π΄π΅πΆπ· (above) is dilated by a scale factor of 4 and ππ·πΆ π»πΊ ? 5. The pair of triangles in the figure are similar. What is the value of x? 25 in. 6 in. x y 8 in. Proportion _______________ Solution____________ Proportion _______________ Solution____________ 20 in. 6. Find the value of y in problem #5. Μ Μ Μ Μ = 42, ππ΄πΆ Μ Μ Μ Μ = 30, πππ ππ΄π· Μ Μ Μ Μ = 21, then find ππ΄πΉ Μ Μ Μ Μ . 7. β π΄π΅πΆ ~β π΄π·πΉ. If ππ΄π΅ A Proportion _______________ D B F C Solution____________ 8. The hexagons below are similar. Find n. A n ο½ ___________ 52 B U F V E C 12 Z Y W n X D 9 9. Triangle ABC is similar to triangle KLM where the ratio of proportionality is What is KL? 2 , and AB = 12 centimeters. 3 B L a. 2 cm b. 4 cm c. 8 cm K d. 24 cm A C 10. The two triangles in the picture (to the right) are similar. What is the value of b? A. π = 3 B. π = ππ₯ ππ₯ 3 C. π=π₯ 11. Triangle πΏππ is similar to Triangle πππ . If π∠πΏ = 25° and π∠π = 40°, find π∠π°. 12. If βπππ ≅ βπππ, which of the following is true? A. B. C. D. ∠π ≅ ∠π ∠π ≅ ∠π ∠π ≅ ∠π ∠π ≅ ∠π Draw two triangles on the grid that show this similarity. M