Question

Write a paragraph explaining how to tell if two triangles are congruent. Use complete sentences, and write at least one paragraph. Explain all the ways to tell congruence for credit.

Answer 1

To determine if two triangles are congruent, you can use several criteria: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS) Congruence Criteria.

Step-by-step explanation:

To determine if two triangles are congruent, you can use several criteria:

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

By checking for congruence using these criteria, you can determine if two triangles are congruent or not.