Congruent Triangles Flashcard

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Side-Side-Side; a postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Side-Angle-Side; a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Angle-Side-Angle; a postulate stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Hypotenuse-Leg; a postulate used for right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

A property stating that any geometric figure is congruent to itself; used in proving triangle congruence.

In congruent triangles, corresponding parts (sides and angles) are equal, which helps in proving triangle congruence.

By showing that all three sides of one triangle are equal to the three sides of another triangle.

By showing that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

By showing that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.