Question

For 1-4 which congruence postulate or theorem could be used to prove that the triangles are congruent

Answer 1

The congruence postulates or theorems that can be used to prove that the triangles are congruent are the Side-Angle-Side (SAS) Postulate, Angle-Side-Angle (ASA) Postulate, Side-Side-Side (SSS) Postulate, and Angle-Angle-Side (AAS) Theorem.

Step-by-step explanation:

The congruence postulates or theorems that can be used to prove that the triangles are congruent are:

1. Side-Angle-Side (SAS) Postulate: If two sides and the included angle of one triangle are equal to two corresponding sides and the included angle of another triangle, then the triangles are congruent.
2. Angle-Side-Angle (ASA) Postulate: If two angles and the included side of one triangle are equal to two corresponding angles and the included side of another triangle, then the triangles are congruent.
3. Side-Side-Side (SSS) Postulate: If the three sides of one triangle are equal to the three corresponding sides of another triangle, then the triangles are congruent.
4. Angle-Angle-Side (AAS) Theorem: If two angles and a non-included side of one triangle are equal to two corresponding angles and the corresponding non-included side of another triangle, then the triangles are congruent.