Question

1. which postulate can be used to prove that triangles hig and jlk are congruent if gh = jk (4cm), hi = kl (5cm) and m∠ghi = m∠jkl (90°)? the information does not determine congruence sas postulate aas postulate sss postulate

Explanation:

To determine the congruence postulate, we analyze the given information:

• \( GH = JK \) (one pair of sides),
• \( \angle GHI = \angle JKL \) (the included angle between the sides),
• \( HI = KL \) (another pair of sides).

The SAS (Side - Angle - Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent. Here, the two sides (\( GH = JK \), \( HI = KL \)) and the included angle (\( \angle GHI=\angle JKL \)) match the SAS criteria.

AAS requires two angles and a non - included side, SSS requires three sides, and the “information does not determine congruence” is incorrect here.

Answer:

B. SAS postulate (assuming the option labels are A: "The Information does NOT determine Congruence", B: "SAS postulate", C: "AAS postulate", D: "SSS postulate")