Before you can ever start with proofs your students need to have a clear understanding of what makes sides and angles of triangles congruent. This lesson on Triangle Congruence by SSS and SAS is one of the more memorization based lessons to teach. With that said the only way to memorize something and master is it to see it multiple times in multiple ways. Here are a couple of things to help you out!

## Triangle Congruence by SSS and SAS

## Congruent Figures

Two figures are said to be congruent if they have **same **shape and the same **size**. The corresponding angles of the two congruent figures are **equal**. The corresponding sides are **congruent**.

The two figures shown below are **congruent**.

The sides of two rectangles have a ratio of 1: 1. The rectangles are **congruent**.

## Congruent Triangles

### Triangle Congruence by Side Side Side

The congruence of triangles can be proved using its **three sides and three ****angles**.

## If all the three sides of one triangle are congruent to all the three corresponding sides of another triangle, the two triangles are said to be congruent.

The two triangles shown below are congruent by **SSS Postulate**.

### Triangle Congruence by Side Angle Side

## If the two sides and their included angle of one triangle is congruent to the two sides and their included angle of another triangle, then the two triangles are said to be congruent.

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## Triangle Congruence by SSS and SAS - PDFs

4-2 Assignment - Triangle Congruence Using SSS and SAS (FREEBIE)

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