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Lesson Menu. Main Idea and New Vocabulary Key Concept: Similar Polygons Example 1: Identify Similar Polygons Example 2: Find Missing Measures Key Concept: Ratios of Similar Figures Example 3: Find Perimeter. Identify similar polygons and find missing measures of similar polygons.

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  1. Lesson Menu Main Idea and New Vocabulary Key Concept: Similar Polygons Example 1: Identify Similar Polygons Example 2: Find Missing Measures Key Concept: Ratios of Similar Figures Example 3: Find Perimeter

  2. Identify similar polygons and find missing measures of similar polygons. • similar polygons • corresponding parts • scale factor Main Idea/Vocabulary

  3. Key Concept

  4. Identify Similar Polygons Determine whether triangle DEF is similar to triangle HJK. Explain. First, check to see if corresponding angles are congruent. DH, EJ, and FK, so all corresponding angles are congruent. Example 1

  5. Since , the corresponding sides are proportional. Identify Similar Polygons Next, check to see if corresponding sides are proportional. Answer: Therefore, the triangles are similar. Example 1

  6. Determine whether the figures are similar. Explain. A.Yes; corresponding angles are congruent and corresponding sides are proportional. B.Yes; corresponding angles are congruent and corresponding sides are congruent. C.No; corresponding angles are congruent, but corresponding sides are not proportional. D.No; corresponding angles are congruent, but corresponding sides are not congruent. Example 1 CYP

  7. scale factor: Find Missing Measures GEOMETRY Given that rectangle LMNO ~ rectangle GHIJ, find the missing measure. Find the scale factor from rectangle LMNO to rectangle GHIJ. Example 2

  8. Write the equation. So, a length on rectangle LMNO is times as long as the corresponding length on rectangle GHIJ. Let m represent the measure ofON. Find Missing Measures m = 6 Multiply. Answer: m = 6 Example 2

  9. GEOMETRY Given that quadrilateral KLMN ~ quadrilateral RSTU, find the missing measure. A. 6 B. 8 C. 10 D. 12 Example 2 CYP

  10. Key Concept 3

  11. Step 1The actual length is proportional to the length of the model with a ratio of . Find the scale factor. Find Perimeter BILLBOARDS A model of a billboard has a side length of 3 inches. The corresponding side on the actual billboard is 4 feet long. The model has a perimeter of 42 inches. What is the perimeter of the actual billboard? • Convert feet to inches and divide out units. Example 3

  12. Find Perimeter Step 2 Find the perimeter of the actual billboard. P = 42 • 16 or 672 Substitute. Then simplify. perimeter of billboard = perimeter of model • scale factor Answer: The perimeter of the actual billboard is 672 inches or 56 feet. Example 3

  13. PHOTOGRAPHS Aphotograph has a side length of 8 inches. The photo is enlarged to poster size and the corresponding side on the poster is 2 feet long. The photograph has a perimeter of 36 inches. What is the perimeter of the poster? A. 4 feet B. 4.5 feet C. 9 feet D. 18 feet Example 3 CYP

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