College

Angle BFG is congruent to angle BFE, segment BF bisects angle AFD, angle GAF is congruent to angle EDF


Prove that triangle GAF is similar to triangle EDF

Angle BFG is congruent to angle BFE segment BF bisects angle AFD angle GAF is congruent to angle EDF Prove that triangle GAF is similar

Answer :

The triangle GAF is similar to triangle EDF because they have tow pairs of correspoangles that are equal.

What are the rules for angle similarity?

The rules guiding angles similarity of a triangle states that:

  • Two pairs of corresponding angles are equal.
  • Three pairs of corresponding sides are proportional.
  • Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Given angle BFH ≈ angle BFE

angle GAF ≈ angle EDF

LineBF bisects angle AFD

Since there are two angles of the triangle that are equal, the two triangles can be said to be similar.

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