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:

• Right angles: \(\angle H=\angle J = 90^{\circ}\) (given as right - angled triangles).
• Sides: \(HG = GJ\) (marked as equal).
• Vertical angles: \(\angle HGF=\angle JGK\) (vertical angles are equal).
• ASA (Angle - Side - Angle) criterion: In \(\triangle GHF\) and \(\triangle GJK\), we have two angles (\(\angle H=\angle J\) and \(\angle HGF=\angle JGK\)) and the included side (\(HG = GJ\)) equal.

Answer:

yes, by ASA