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D. N. A. 1) Use the figure to complete the proportions. 2) Solve for x. Chapter 7-5. Parts of Similar Triangles. Five-Minute Check (over Lesson 7-4) Main Ideas California Standards Theorem 7.7: Proportional Perimeters Theorem Example 1: Perimeters of Similar Triangles

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**D. N. A.**1) Use the figure to complete the proportions. 2) Solve for x.**Chapter 7-5**Parts of Similar Triangles**Five-Minute Check (over Lesson 7-4)**Main Ideas California Standards Theorem 7.7: Proportional Perimeters Theorem Example 1: Perimeters of Similar Triangles Theorems: Special Segments of Similar Triangles Example 2: Write a Proof Example 3: Medians of Similar Triangles Example 4: Solve Problems with Similar Triangles Theorem 7.11: Angle Bisector Theorem Lesson 5 Menu**Standard 4.0 Students prove basic theorems**involvingcongruence and similarity. (Key) • Recognize and use proportional relationships of corresponding perimeters of similar triangles. • Recognize and use proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles. Lesson 5 MI/Vocab**6**B A 9 3 15 C 12 D 4 Y W 6 2 10 Z 8 X Proportionate Perimeters of Polygons (try saying that 10 times fast—quietly!!!) • If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.**Perimeters of Similar Triangles**Lesson 5 Ex1**Perimeters of Similar Triangles**Proportional Perimeter Theorem Substitution. Cross products Multiply. Divide each side by 16. Lesson 5 Ex1**A.**B. C. D. Lesson 5 CYP1**Similar Triangle Proportionality**• If two triangles are similar, then the ratio of any two corresponding lengths (sides, perimeters, altitudes, medians and angle bisector segments) is equal to the scale factor of the similar triangles.**24**N M P 6 Q R S T 16 Example • Find the altitude QS.**A.**B. C. D. Lesson 5 CYP2**Medians of Similar Triangles**Lesson 5 Ex3**Medians of Similar Triangles**Write a proportion. EG = 18, JL = x, EF = 36, and JK = 56 Cross products Divide each side by 36. Answer: Thus, JL = 28. Lesson 5 Ex3**A**• B • C • D A. 2.8 B. 17.5 C. 3.9 D. 0.96 Lesson 5 CYP3**Solve Problems with Similar Triangles**Lesson 5 Ex4**Solve Problems with Similar Triangles**Lesson 5 Ex4**Solve Problems with Similar Triangles**Write a proportion. Cross products Simplify. Divide each side by 80. Answer: The height of the pole is 15 feet. Lesson 5 Ex4**A. 10.5 in**B. 61.7 in C. 21 in D. 28 in Lesson 5 CYP4**A**D C B Triangle Bisector Theorem • If a ray bisects an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides.**B**AD bisects BAC 9 A D 14 15 C Find DC Example #3 14-x Triangle Bisector Thm. x**Homework**Chapter 7-5 Pg 419 1-13 skip #3, 19-22, 25-26, 39-40

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