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

$\angle H=\angle J = 90^{\circ}$ (given right - angle marks).

Step2: Identify vertical angles

$\angle HGF=\angle JGK$ (vertical angles are equal).

Step3: Identify side lengths

$HG = GJ$ (marked as equal).

Step4: Apply congruence rule

By AAS (Angle - Angle - Side) congruence criterion (two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of the other triangle), $\triangle GHF\cong\triangle GJK$.

Answer:

yes, by AAS