Question

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

Explanation:

Step1: Analyze statement A

Statement A describes the Side - Angle - Side (SAS) congruence criterion. Looking at the triangles:

• In pair 1, we have two sides and the included angle congruent.

Step2: Analyze statement B

Statement B describes the Angle - Side - Angle (ASA) congruence criterion.

• In pair 3, we have two angles and the included side congruent.

Step3: Analyze statement C

Statement C describes the Side - Side - Side (SSS) congruence criterion.

• In pair 2, we have three pairs of congruent sides.

Answer:

A - 1, B - 3, C - 2