Congruent Triangles 1

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 is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to 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 AAS in triangle congruence?

Back

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

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal. This property is used in various geometric proofs and applications.

Front

If two triangles have two sides of equal length and the angle between them is also equal, what postulate can be used to prove they are congruent?

Back

SAS (Side-Angle-Side) postulate.

Front

If two triangles have three sides of equal length, what postulate can be used to prove they are congruent?

Back

SSS (Side-Side-Side) postulate.

Front

If two triangles have two angles equal and the side opposite one of the angles is equal, what postulate can be used to prove they are congruent?

Back

AAS (Angle-Angle-Side) postulate.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

If two triangles are congruent, then all their corresponding parts (sides and angles) are also congruent.

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

You need to show that two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is also equal.