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## Congruent Figures – Identify Corresponding Part and Congruent Triangles 4.1

This post is about congruent polygons. Congruent polygons have congruent corresponding parts, meaning the corresponding angles are congruent and the corresponding sides are congruent. It is important, when naming congruent polygons, to keep the corresponding vertices in order. This will be model in the video below.

The first example in the video explores how to name the congruent corresponding parts of two congruent triangles. There is no diagram for this example, because the order of the corresponding vertices is important. Since the corresponding vertices from one triangle to the other triangle are matched up, it is possible to name the corresponding parts without a diagram.

Example 2 involves calculating the measure of one of the angles of a pentagon, but there is not enough information on that polygon to find the measure. To find the measure of the angle in question, one must find the measure of the corresponding congruent angle of the other pentagon given. There is a congruence statement about the two polygons, which allows us to find the measure of the one angle and to conclude that measure of the angle in question. The polygon angle sum theorem is used to find the measure of the angle and the given congruence statement is used to find the measure of the angle in question.

Example 3 parts a and b model how to determine if the given triangles are congruent from the diagram given.