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Name _________________________________ Period_________ Date________________ Adapted from Corbin/Lyons Dilations & Similarity #2 1. What does similarity mean? ______________________ 2. What does the symbol ∼ mean? _________________________ π₯ 3. What is the missing number? How do you know? 35 48 = 56 A B 4. π΄π΅πΆπ· ∼ π΄′π΅′πΆ′π·′. What transformation(s) would show this to be true? A′ B′ C D 5. What line segment’s measure would be needed to complete the numerator and make the following equation true? AB ? ο½ CD C ο’Dο’ D′ C′ 6. Name the corresponding sides of βπ΄π΅πΆ to βπππ. U C Μ Μ Μ Μ π΄π΅ ∼_________ Μ Μ Μ Μ π΅πΆ ∼________ Μ Μ Μ Μ ∼_________ πΆπ΄ B A W V 7. The pair of triangles below are similar. What is the value of x? 25 in. x 6 in. y 8 in. Proportion _______________ Solution____________ 20 in. 8. Using the same figures above, what is the value of y? Proportion _______________ Solution____________ Μ ? 9. β π½πΎπΏ is similar to β π ππ. What is the value of π½πΏ J R 6 K L 18 S T 4.5 Proportion _______________ Solution____________ Μ Μ Μ Μ = 42, π Μ Μ Μ Μ Μ Μ Μ Μ = 14, then find ππ΄πΉ Μ Μ Μ Μ . 10. β π΄π΅πΆ ~β π΄π·πΉ. If ππ΄π΅ π΄πΆ = 30, πππ ππ΄π· A Proportion _______________ D Solution____________ F B C 11. Polygon π΄π΅πΆπ· is similar to polygon πΈπΉπ»πΊ. Using the values in this diagram, find x. 40 A B 15 E F x 32 D 30 H C y G Proportion _______________ Solution____________ Proportion _______________ Solution____________ 12. Find the value of y in problem #11. 13. At the same time of day, a man who is 10 feet tall casts an 11-foot shadow and his son casts a 2.2 foot shadow. What is the height of the man’s son? Proportion _______________ Solution____________ 14. If you know two figures are similar but not congruent, what do you know about the measures of the side lengths and angles?