Congruent Triangles Flashcard

AAS stands for Angle-Angle-Side, a postulate that states if two angles and the non-included side of one triangle are equal to two angles and the non-included side of another triangle, then the triangles are congruent.

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

ΔDEC ≅ ΔBEA if the corresponding sides and angles are equal.

The sides opposite the equal angles are proportional, and the triangles are similar.

Congruent triangles have exactly the same size and shape, meaning all corresponding sides and angles are equal.

No, at least two sides and the included angle must be equal for the triangles to be congruent.

In SAS, the included angle is the angle formed between the two sides being compared, and it is crucial for establishing congruence.

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form ΔABC ≅ ΔDEF.