Congruent Triangles Flashcard

Front

What does AAS stand for in triangle congruence?

Back

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.

Front

What does SAS stand for in triangle congruence?

Back

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.

Front

What does SSS stand for in triangle congruence?

Back

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.

Front

What does ASA stand for in triangle congruence?

Back

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.

Front

What is the congruence statement for triangles ΔDEC and ΔBEA?

Back

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

Front

If two triangles have two angles equal, what can be said about their sides?

Back

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

Front

What is the relationship between congruent triangles?

Back

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

Front

Can two triangles be congruent if only one side is equal?

Back

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

Front

What is the significance of the included angle in SAS?

Back

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

Front

What is a congruence statement?

Back

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