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16 votes
Please hwlp me on this one ita urgent.

Please hwlp me on this one ita urgent.-example-1

2 Answers

12 votes
I believe you can look this up , and it has the answers that’s what I always do! Just look up the problem and it should show up! If it doesn’t I’ll help (:
User Ravid
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8 votes

Triangle GAF is congruent to triangle EDF because they share the following congruent parts:

Angle AFB is congruent to angle BFD

Angle BFG is congruent to angle BFE

Angle GAF is congruent to angle EDF

Therefore, by the Angle-Angle-Side (AAS) Congruence Postulate, triangle GAF is congruent to triangle EDF.

The image you attached shows a geometry problem with the following givens:

Line segment BF bisects angle AFD

Angle BFG is congruent to angle BFE

Angle GAF is congruent to angle EDF

The problem asks us to prove that triangle GAF is congruent to triangle EDF.

We can prove this using the following steps:

Given:

Line segment BF bisects angle AFD

Angle BFG is congruent to angle BFE

Angle GAF is congruent to angle EDF

Prove:

Triangle GAF is congruent to triangle EDF

Proof:

Since line segment BF bisects angle AFD, we have:

Angle AFB is congruent to angle BFD

Since angle BFG is congruent to angle BFE, we have:

Angle BFG = angle BFE

Since angle GAF is congruent to angle EDF, we have:

Angle GAF = angle EDF

By the Angle-Angle-Side (AAS) Congruence Postulate, we have:

Triangle GAF is congruent to triangle EDF

Therefore, we have proven that triangle GAF is congruent to triangle EDF.

User Yoichiro Tanaka
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5.1k points