Corresponding Parts of Similar Triangles

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Presentation transcript:

Corresponding Parts of Similar Triangles If triangles are similar are other things similar as well

Proportional Parts Conjecture If two triangles are similar, then the length of the corresponding altitudes, medians, and angle bisectors are proportional to the lengths of the corresponding sides. This shows similar Triangles

Medians with same scale factor Angles bisectors with same scale factor

Altitudes with same scale factor

Example

Angle Bisector and Opposite Side Conjecture A bisector of an angle in a triangle divides the opposite side into two segments whose lengths are in the same ratio as the lengths of the two sides forming the angle.

Example 2

Homework Page 605 1-13 odd Set up proportions and solve for missing measurement