SOLUTION: Given: line GH is parallel to line KJ. Prove: triangle GHF is similar to triangle JKF.

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Question 1161930: Given: line GH is parallel to line KJ. Prove: triangle GHF is similar to triangle JKF.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Angles HGJ and KJG are congruent because of parallel lines cut by a transversal; similarly angles GHK and JKH are congruent.

And angles GFH and JFK are congruent because they are vertical angles.

Since the three angles of one triangle are congruent to the three angles of the other, the triangles are similar.