Question

1. match each statement using only the information shown in the pairs of congruent triangles. (lesson 2 - 4) a. the 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle. b. in the 2 triangles there are 3 pairs of congruent sides. c. the 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle.

Explanation:

Step1: Recall congruence postulates

• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.
• SSS (Side - Side - Side): Three pairs of congruent sides in two triangles.
• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Step2: Match statements to postulates

• Statement A describes ASA. In figure 2, we can see two - angle and the included - side markings that match the ASA criterion.
• Statement B describes SSS. In figure 1, the three pairs of congruent sides are marked.
• Statement C describes SAS. In figure 3, the two - side and the included - angle markings match the SAS criterion.

Answer:

A. 2
B. 1
C. 3