Question

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 right - angles and equal sides

We see that $\angle H=\angle J = 90^{\circ}$ and $HG = GJ$ (the single - hash marks indicate equal sides). Also, $\angle FGH$ and $\angle KGJ$ are vertical angles, so $\angle FGH=\angle KGJ$.

Step2: Apply congruence criterion

We have two angles and the included side of one triangle equal to two angles and the included side of the other triangle. The ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Answer:

yes, by ASA