Question

analyzing diagrams
can you conclude that triangle ghf is congruent to triangle gjk? explain.
yes, by asa
yes, by aas
yes, by aaa
not enough information given

Explanation:

Step1: Identify known congruent parts

We know that $\angle H=\angle J = 90^{\circ}$ (right - angles), and $HG = GJ$ (marked equal segments). But we have no information about the other angles or sides.

Step2: Recall congruence postulates

ASA (Angle - Side - Angle) requires two angles and the included side to be congruent. AAS (Angle - Angle - Side) requires two angles and a non - included side to be congruent. AAA (Angle - Angle - Angle) only gives similarity, not congruence.

Answer:

not enough information given