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Lesson Menu. Main Idea and New Vocabulary Key Concept: Similar Figures Example 1: Identify Similar Figures Example 2: Find Missing Measures Example 3: Find Missing Measures. Solve problems involving similar figures. similar figures corresponding sides corresponding angles
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Lesson Menu Main Idea and New Vocabulary Key Concept: Similar Figures Example 1: Identify Similar Figures Example 2: Find Missing Measures Example 3: Find Missing Measures
Solve problems involving similar figures. • similar figures • corresponding sides • corresponding angles • indirect measurement Main Idea/Vocabulary
Identify Similar Figures Which rectangle is similar to rectangle FGHI? Example 1
Identify Similar Figures Find the ratios of the corresponding sides to see if they are the same. Rectangle LMNO Rectangle ABCD Rectangle QRST Not Similar Not similar Similar Answer: So, rectangle ABCD is similar to rectangle FGHI. Example 1
A. B. C. D. Which triangle is similar to triangle ABC? Example 1 CYP
If ΔABC ~ ΔDEF, find the length of . Find Missing Measures Example 2
Write a proportion. Let x represent the length of . Then substitute. Answer: The length of is 16.5 centimeters. Find Missing Measures 3x = 4.5(11) Find the cross products. 3x = 49.5 Simplify. x = 16.5 Divide each side by 3. Example 2
If rectangle ABCD ~ rectangle GHIJ then find the length of . A. 12 cm B. 8.5 cm C. 3.5 cm D. 3 cm Example 2 CYP
Write a proportion. Find Missing Measures PALM TREES At a certain time of day, a cabbage palm tree that is 71 feet high casts a shadow that is 42.6 feet long. At the same time, a nearby flagpole casts a shadow that is 15 feet long. How tall is the flagpole? 71(15) = 42.6x Find the cross products. 1,065 = 42.6x Simplify. 25 = x Divide each side by 42.6. Answer: The tree is 25 feet tall. Example 3
SHADOWS An oak tree that is 30 feet tall casts a shadow that is 10 feet long. At the same time, Joe, who is 6 feet tall also casts a shadow. How long is his shadow? A. 2 ft B. 9 ft C. 18 ft D. 20 ft Example 3 CYP