Chapter 7 Lesson 5: Parts of Similar Triangles

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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

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

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

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

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

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