Question

In the proof style of your choice (two-column, flow-chart, or paragraph) answer the question below.

Given: EH GH

Answer 1

See below.

Explanation:

Here's a paragraph proof:

We are given that EH and GH are congruent. That is 1 pair of congruent sides of two triangles.

We are given that F is the midpoint of EG. By the definition of midpoint, segments EF and GF are congruent. That is a second pair of congruent sides of the triangles.

Segment FH is congruent to itself. Segment FH is a side of both triangles. That is a third pair of congruent sides of the triangles.

By SSS, triangles EFH and GFH are congruent.