Question

match each statement using only the information shown in the pairs of congruent triangles. in the 2 triangles there are 3 pairs of congruent sides. the 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle. 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 postulates

SSS (Side - Side - Side) postulate states that if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent. 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. ASA (Angle - Side - Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.

Step2: Analyze the first statement

The statement "In the 2 triangles there are 3 pairs of congruent sides" corresponds to the SSS postulate.

Step3: Analyze the second statement

The statement "The 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle" corresponds to the SAS postulate.

Step4: Analyze the third statement

The statement "The 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle" corresponds to the ASA postulate.

Answer:

1. SSS
2. SAS
3. ASA