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Geometry for School and Home
Activity 3.8
Assignment 3.9
Assignment 6.22
Similar Triangles: Altitudes, Medians, Angle Bisectors
Objectives
Identify and name corresponding medians, altitudes, and angle bisectors of similar triangles.
Write and solve proportions to find lengths of altitudes, medians, and angle bisectors in similar triangles.
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About Geometry Worksheet Assignment 6.22:
Assignment 6.22 is an introduction to proportions involving medians, altitudes, and angle bisectors in similar triangles.
Prerequisite Skills: Identify medians, altiitudes, and angle bisectors in triangles (Assignments 3,15, 3.16, 3.17). Identify similar triangles using the AA postulate (Assignment 6.14). Solve proportions (Assignment 6.2).
Theorem: In similar triangles, the lengths of corresponding altitudes, medians, and angle bisectors are proportional to the lengths of corresponding sides.
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