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Similar Polygons: Part 1 Corresponding Parts. Warm-up What is a polygon?

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Presentation on theme: "Similar Polygons: Part 1 Corresponding Parts. Warm-up What is a polygon?"— Presentation transcript:

1 Similar Polygons: Part 1 Corresponding Parts

2 Warm-up What is a polygon?

3 Identify Similar Polygons Determine whether rectangle HJKL is similar to rectangle MNPQ. Explain. HJJK MNNP 73= 30 106= 42 Not equivalent ratios, so rectangle HJKL is NOT similar to rectangle MNPQ. 33 7 7HJ KL 6 6 10 10 M N P Q = =

4 Example Problems Determine whether these polygons are similar. Explain 8 6 6 12 88 Shape 1 Shape 2

5 Determine whether these polygons are similar. Explain 6 6 14 14 1.51.5 3.5 3.5 Shape 1 Shape 2

6 Determine whether these polygons are similar. Explain 5 4 3 13 12 5 Shape 1 Shape 2

7 Determine whether these polygons are similar. Explain 18 8 8 10 7.56 6 13.5 Shape 1 Shape 2

8 Worksheet time! Please Complete PROBLEMS# 1 – 4 on Skills Practice Side!

9 Let’s Check Your Answers! 1. Yes2. No 3. Yes4. Yes

10 Similar Polygons: Part 2 Proportions

11 Find Missing Measures Given that polygon WXYZ is similar to polygon ABCD, find the missing measure. AD DC WZZY 1310= 10m m15= 195 10m = 195 m = 19.5 1313 10 AB CD m 15 24WX YZ = =

12 Find Missing Measures Given that polygon WXYZ is similar to polygon ABCD, find the missing measure. AB DC WXZY 1313 10 AB CD 19.5 15 24WX YZ = = m

13 Example Problem Rectangle KLMN is similar to rectangle TUVW. If the perimeter of rectangle KLMN is 32 units, what is the perimeter of rectangle TUVW? A 128 units B 64 units C 96 units D 40 units 8 LM NK U 16 V W T

14 Worksheet time! Please Complete PROBLEMS# 5 – 8 on Skills Practice Side!

15 Let’s Check Your Answers! 5. 5.26. 4.5 7. 2.58. 16

16 Up Next… Activity 1: Practice 4-5, Questions 1 – 7 Activity 2: Hippo Packet # 14

17 Trade and Grade Practice 4-5 1. No2. Yes 3. x = 144. x = 9 5. x = 36. x = 2 7. Perimeter = 18 in.


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