Congruent Figures

Examples, videos, worksheets, solutions, and activities to help Geometry students learn about figures that are congruent.

Congruent Figures Part 1
Identify Corresponding Part and Congruent Triangles 4.1
This video 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.

Congruent Figures Part 2
Proving Triangles Congruent - Definition of Congruent Triangles
The second part of this series about congruent figures is proving triangles congruent.
At this point, there is only one way to prove triangles congruent, with the definition of congruent triangles. Congruent triangles have 3 pairs of corresponding angles and 3 pairs of congruent angles. So, to prove two triangles congruent, we must establish that all 3 pairs of corresponding sides and angles are congruent.
The third angle theorem states, if two angles of one triangle are congruent to two angles of another triangle, the third angles are congruent to each other.

Congruent Figures Part 3 -
Proving Triangles Congruent - Definition of Congruent Triangles 4.1
The third part of this series about congruent figures is proving triangles congruent.
At this point, there is only one way to prove triangles congruent, with the definition of congruent triangles. Congruent triangles have 3 pairs of corresponding angles and 3 pairs of congruent angles. So, to prove two triangles congruent, we must establish that all 3 pairs of corresponding sides and angles are congruent.

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