Question

1. match each statement using only the information shown in the pairs of congruent triangles.

a. in the 2 triangles there are 3 pairs of congruent sides.
b. the 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle.
c. the 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle.

Explanation:

Step1: Recall congruence criteria

Side - Side - Side (SSS) congruence means 3 pairs of congruent sides. Side - Angle - Side (SAS) congruence means 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle. Angle - Side - Angle (ASA) congruence means 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle.

Step2: Match statements to criteria

For the first statement "In the 2 triangles there are 3 pairs of congruent sides", it matches SSS. For the second statement "The 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle", it matches SAS. For the third statement "The 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle", it matches ASA.

Answer:

1. A
2. B
3. C