# Understanding Triangle Congruence Proofs Worksheet Answers

## What is a Congruence Proof?

A congruence proof is a logical argument that establishes the specific relationship between two triangles. In order to prove the congruence of two triangles, students must use either the Side-Side-Side (SSS) Theorem or the Side-Angle-Side (SAS) Theorem. Both of these theorems require students to compare the sides and angles of two triangles and determine whether they are congruent or not.

## How to Use the SSS and SAS Theorems to Solve Triangle Congruence Proofs

When solving triangle congruence proofs, the Side-Side-Side (SSS) Theorem and the Side-Angle-Side (SAS) Theorem are the two main methods used. The SSS Theorem states that if the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent. The SAS Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

## Tips for Answering Triangle Congruence Proofs Worksheet Questions

When answering triangle congruence proof questions, it is important to remember the two theorems (SSS and SAS) and the conditions for each one. Additionally, it is important to draw and label the triangle diagrams accurately. The diagrams should clearly illustrate all of the sides and angles of each triangle. Once the diagrams are drawn, it is then necessary to compare the sides and angles of the two triangles and determine whether or not they are congruent.

## Conclusion

Triangle congruence proofs can be tricky to solve, but with practice, students can become proficient in using the SSS and SAS theorems to answer questions correctly. By drawing neat diagrams and correctly labeling the sides and angles of the triangles, students can make the comparison process easier. With the right strategies, students can succeed in solving triangle congruence proofs.