Question

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

Explanation:

Step1: Identify known information

We have $\angle H=\angle J = 90^{\circ}$, $HG = GJ$ (marked segments are equal), and $\angle HGF=\angle JGK$ (vertically - opposite angles).

Step2: Recall congruence criteria

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, the two triangles are congruent. Here, $\angle H=\angle J$, $HG = GJ$, $\angle HGF=\angle JGK$.

Answer:

yes, by ASA