Choose which postulate/theorem proves the triangles congruent

Question

M is the midpoint of line GL, line GK congruent to line LK

Answer 1

The postulate/theorem that proves the triangles congruent in this case is the Midpoint Theorem.

The Midpoint Theorem states that if a line segment is divided into two equal parts by a midpoint, then the two line segments on either side of the midpoint are congruent.

In this case, the given information states that M is the midpoint of line GL. Therefore, we can conclude that GK is congruent to LK based on the Midpoint Theorem.