Triangle Congruence Postulates

Front

What does SSS stand for in triangle congruence postulates?

Back

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

Front

What does SAS stand for in triangle congruence postulates?

Back

SAS stands for Side-Angle-Side, which states that 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 ASA stand for in triangle congruence postulates?

Back

ASA stands for Angle-Side-Angle, which states that 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 does AAS stand for in triangle congruence postulates?

Back

AAS stands for Angle-Angle-Side, which states that 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 triangle congruence postulates in geometry?

Back

Triangle congruence postulates are used to determine whether two triangles are congruent, which is essential for solving various geometric problems and proofs.

Front

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

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or two angles and a side must be equal.

Front

How can you prove triangles are congruent using the SSS postulate?

Back

To prove triangles are congruent using the SSS postulate, you must show that all three corresponding sides of the triangles are equal in length.

Front

How can you prove triangles are congruent using the SAS postulate?

Back

To prove triangles are congruent using the SAS postulate, you must show that two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

Front

How can you prove triangles are congruent using the ASA postulate?

Back

To prove triangles are congruent using the ASA postulate, you must show that two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

Front

How can you prove triangles are congruent using the AAS postulate?

Back

To prove triangles are congruent using the AAS postulate, you must show that two angles and a non-included side of one triangle are equal to the corresponding two angles and non-included side of another triangle.