Question

True or False Two triangles are congruent if two angles and the included side of one equals two angles and the included side of the other.

Short answer

The given statement is true.

Step-by-step solution

Step 1. Given information.

The given statement is:

Two triangles are congruent if two angles and the included side of one equals two angles and the included side of the other.

We need to check whether the given statement is true or false.

Step 2. Determine whether the statement is true or false.

Angle–Side–Angle (ASA) postulate: Two triangles are congruent if two of the angles are equal and the lengths of the corresponding sides between the two angles are equal.

It means, the given statement is true by Angle–Side–Angle (ASA) postulate.

Step 3. Conclusion.

The given statement is true.