Question

1. if triangles have two sides and the included angle equal, the triangles are using which postulate? sss sas asa aas

Explanation:

To determine the correct postulate, we analyze each option:

• SSS (Side - Side - Side) postulate states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. This does not match the given condition of two sides and an included angle.
• SAS (Side - Angle - Side) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. This matches the description in the question.
• ASA (Angle - Side - Angle) postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent. This is not the case here as we have two sides and an included angle, not two angles and an included side.
• AAS (Angle - Angle - Side) postulate states that if two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle, the triangles are congruent. This also does not match the given condition.

Answer:

B. SAS