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Chapter 7 Lesson 5: Parts of Similar Triangles

Chapter 7 Lesson 5: Parts of Similar Triangles. Geometry CP Mrs. Mongold. Proportional Perimeters Theorem. If two triangles are similar, then the perimeters are proportional to the measures of corresponding sides. 2. 2. SF = ¼ P of small is 6 P of big is 24 6:24 1:4. 8. 8. 2. 8.

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Chapter 7 Lesson 5: Parts of Similar Triangles

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  1. Chapter 7 Lesson 5: Parts of Similar Triangles Geometry CP Mrs. Mongold

  2. Proportional Perimeters Theorem • If two triangles are similar, then the perimeters are proportional to the measures of corresponding sides. 2 2 SF = ¼ P of small is 6 P of big is 24 6:24 1:4 8 8 2 8

  3. Special Segments of Similar Triangles • Similar Triangles have corresponding altitudes that are proportional to corresponding sides. U Q P R A V W T

  4. Special Segments of Similar Triangles Continued • Similar triangles have corresponding angle bisectors that are proportional to the corresponding sides U Q V R X P T B

  5. Special Segments of Similar Triangles Continued • Similar Triangles have corresponding medians proportional to the corresponding sides. U Q V R Y P T M

  6. Angle Bisector Theorem • An angle bisector in a triangle separates the opposite side into segments that have the same ratio as the other two sides. C B A D

  7. Homework • Pg 30/9 & 10 • Pg 31/7& 8 • Pg 36

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