congruent triangles

Front

What are congruent triangles?

Back

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

Front

What does the AAS postulate stand for in triangle congruence?

Back

Angle-Angle-Side postulate, 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 does the ASA postulate stand for in triangle congruence?

Back

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

Front

What does the SSS postulate stand for in triangle congruence?

Back

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

Front

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

Back

Not necessarily; additional information about angles or other sides is needed to determine congruence.

Front

What is the significance of the included angle in the ASA postulate?

Back

The included angle is the angle between the two sides being considered, and it is crucial for establishing congruence.

Front

What is the significance of the non-included side in the AAS postulate?

Back

The non-included side is the side that is not between the two angles being considered, and it helps establish congruence when combined with the two angles.

Front

What is the criteria for triangle congruence using the SSS postulate?

Back

All three corresponding sides of the triangles must be equal in length.

Front

What is the criteria for triangle congruence using the ASA postulate?

Back

Two angles and the included side of one triangle must be equal to two angles and the corresponding included side of another triangle.

Front

What is the criteria for triangle congruence using the AAS postulate?

Back

Two angles and a non-included side of one triangle must be equal to two angles and the corresponding non-included side of another triangle.