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.
The included angle is the angle made at the point where two sides of a triangle meet. The two triangles shown below are congruent by SAS Postulate.
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