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Lesson 10-6 Pages 440-443 Similar Figures What you will learn! How to determine whether figures are similar and find a missing length in a pair of similar figures. Similar figures Indirect measurement What you really need to know! Two figures are similar if corresponding angles are congruent and corresponding sides are proportional. The symbol ~ means is similar to. ∆ABC ~ ∆DEF B 5 E 10 8 4 A 3 C D 6 F Corresponding angles Corresponding sides 5 4 3 10 8 6 A D B E C F B 5 A 3 10 E 8 4 C D 6 F Link to Pre-Made Lesson Example 1: If ∆ABC ~ ∆DEF, find the length of DF. 3 11 3n 49.5 4 .5 n n 16.5 Example 2: A rectangular picture window 12feet long and 6-feet wide needs to be shortened to 9-feet in length to fit a redesigned wall. If the architect wants the new window to be similar to the old window, how wide will the new window be? 12 6 9 n n 4.5 12n 54 4.5 ft Page 442 Guided Practice #’s 3-5 Read: Pages 440-441 with someone at home and study examples! Homework: Page 442-443 #’s 6-15 all #’s 18-27 all Lesson Check 10-6 Page 588 Lesson 10-6 Study Guide and Review Pages 462-464 #’s 6-22 (Odd answers in back of book) Prepare for Test! Pages 465 #’s 3-13, 16