 # Lesson 6-2 Similar polygons.

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Lesson 6-2 Similar polygons

(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

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

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.

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

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

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

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

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

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

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

Lesson 6-2 Practice and Apply. Page 293

Lesson 6-2 Practice and Apply. Page 293

Lesson 6-2 Practice and Apply. Page 293

Lesson 6-2 Practice and Apply. Page 293

Lesson 6-2 Practice and Apply. Page 293

Extra Practice

Extra Practice

Extra Practice

Extra Practice Solve and graph 1)

Extra Practice 2)

Extra Practice 3)