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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