remindergif Use only your compass and straight edge when drawing a construction. No free-hand drawing!


Similar Triangles
If you remember that the corresponding angles of similar triangles are congruent, you will be all set to prepare this construction.

Prepare a mental picture of what similar triangles look like, such as the one shown at the right, and then use this picture to guide your construction.

similartriangles

Given: ΔABC
Construct: a triangle similar to ΔABC,similarmath

 

similarconstruct1

STEPS:
1. CopyA at point D.

2. Copy ∠B at point E.

3. Draw each of the angles until they intersect at point F.

4. similartrianglesend
(by Angle-Angle, AA)

similarconstruct2


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