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Lesson 6-2 Similar polygons. Lesson 6-2DefinitionDefinition Corresponding Angles are congruentCorresponding sides are proportional (similar to) AB C 8.

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Presentation on theme: "Lesson 6-2 Similar polygons. Lesson 6-2DefinitionDefinition Corresponding Angles are congruentCorresponding sides are proportional (similar to) AB C 8."— Presentation transcript:

1 Lesson 6-2 Similar polygons

2 Lesson 6-2DefinitionDefinition Corresponding Angles are congruentCorresponding sides are proportional (similar to) AB C DE F The ratio of Corresponding sides Scale Factor is called (similarity statement) Two polygons are similar if and only if

3 Lesson 6-2ExamplesExamples 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 ANGLESSIDES Yes they are ~ 2) Similarity statement 3) Scale Factor

4 Lesson 6-2 In the diagram, DEF ~ MNP. Find the value of x. Step1: Set up proportions of the sides. Step2: Cross multiply and solve. 4 ExamplesExamples

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

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

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

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

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

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

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

12 Lesson 6-2 Practice and Apply. Page 293

13 Lesson 6-2 Practice and Apply. Page 293

14 Lesson 6-2 Practice and Apply. Page 293

15 Lesson 6-2 Practice and Apply. Page 293

16 Lesson 6-2 Practice and Apply. Page 293

17 Extra Practice

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20 Solve and graph 1)

21 Extra Practice 2)

22 Extra Practice 3)


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