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Lesson 6-2 Similar polygons

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**(similarity statement)**

Lesson 6-2 Definition D E F 15 10 20 (similar to) A B C 8 12 16 (similarity statement) Two polygons are similar if and only if Corresponding Angles are congruent Corresponding sides are proportional The ratio of Corresponding sides is called Scale Factor

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**1) Are the polygons similar? **

Lesson 6-2 Examples 1) Are the polygons similar? 2) If they are, write a similarity statement 3) and give the scale factor. 1) Check for corresponding angles and sides ANGLES SIDES Yes they are ~ 2) Similarity statement 3) Scale Factor

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**In the diagram, ∆DEF ~ ∆MNP. Find the value of x.**

Lesson 6-2 Examples In the diagram, ∆DEF ~ ∆MNP. Find the value of x. Step1: Set up proportions of the sides. Step2: Cross multiply and solve.

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Lesson 6-2 Examples Determine whether the pair of figures is similar. A. Yes, ΔAXE ~ ΔWRT. B. Yes, ΔAXE ~ ΔRWT. C. No, the Δ's are not ~. D. not enough information

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Lesson 6-2 Examples Determine whether the pair of figures is similar. A. Yes, ΔTRS ~ ΔNGA. B. Yes, ΔTRS ~ ΔGNA. C. No, the Δ's are not ~. D. not enough information

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Lesson 6-2 Examples The two polygons are similar. Write a similarity statement. A. TRAP ~ OZDL B. TRAP ~ OLDZ C. TRAP ~ ZDLO D. TRAP ~ ZOLD

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Lesson 6-2 Examples The two polygons are similar. Solve for a. A. a = 1.4 B. a = 3.75 C. a = 2.4 D. a = 2

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Lesson 6-2 Examples The two polygons are similar. Solve for b. A. b = 7.2 B. b = 1.2 C. D. b = 7.2

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**Practice and Apply. Page 293**

Lesson 6-2 Practice and Apply. Page 293 Determine whether each pair of figures is similar. Justify your answer

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**Practice and Apply. Page 293**

Lesson 6-2 Practice and Apply. Page 293 Determine whether each pair of figures is similar. Justify your answer

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Lesson 6-2 Practice and Apply. Page 293

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Lesson 6-2 Practice and Apply. Page 293

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Lesson 6-2 Practice and Apply. Page 293

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Lesson 6-2 Practice and Apply. Page 293

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Lesson 6-2 Practice and Apply. Page 293

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Extra Practice

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Extra Practice

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Extra Practice

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Extra Practice Solve and graph 1)

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Extra Practice 2)

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Extra Practice 3)

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6.3 – Use Similar Polygons Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional. In.

6.3 – Use Similar Polygons Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional. In.

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