Question

Given: GH || KL, J is the midpoint of HKProve: AGHJ ALKJSTATEMENTREASON1. GH | KLGiven2. J is the midpoint of HKGiven3456.GHJ=LKJ

Answer 1

SOLUTION

From the question given, the reasons for the prove of the following statements are correct so far.

For the last part

$\Delta GJK\cong\Delta IHK$

The reason is Side-side-side theorem.

This theorem states that all three sides of a triangle are congruent (identical) to the corresponding sides of another triangle, then the triangles themselves are also congruent.

Hence the answer is Side-side-side theorem.