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Angle Correspondence in Similar Parallelograms and Triangle Similarity

This lesson explores the relationships between angles in similar shapes, specifically parallelograms and triangles. Given two similar parallelograms with a scale factor of 4.5 and an angle of 65° in the larger parallelogram, we aim to find the corresponding angle in the smaller shape. Additionally, we analyze triangle similarity through angle bisectors and the properties of congruent angles. Homework is assigned from pages 400 to 402, covering various problems to reinforce these concepts. Questions and clarifications are welcomed.

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Angle Correspondence in Similar Parallelograms and Triangle Similarity

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  1. Bell Work Solve If two similar parallelograms have a scale factor of 4.5 and one angle of the larger one measures 65°, what is the measure of the corresponding angle in the smaller parallelogram? Refer to the figure below. If TX bisects <SXY and <S = <Y, can you say that the two triangles are similar? Why or why not?

  2. Go over Homework • Pg. 400 – 401 # 1 – 14

  3. #1

  4. #2

  5. #3

  6. #4

  7. #5

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  14. #12

  15. #13

  16. #14

  17. Questions/Clarifications?

  18. Homework • Pg. 401 - 402 # 15 – 35

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