Triangle Congruence

Front

What is the SSS Postulate?

Back

The SSS (Side-Side-Side) Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS Postulate?

Back

The SAS (Side-Angle-Side) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the ASA Postulate?

Back

The ASA (Angle-Side-Angle) Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the AAS Theorem?

Back

The AAS (Angle-Angle-Side) Theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Front

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

Back

No, knowing only one side is not sufficient to determine congruence; at least two sides and the included angle or two angles and a side are needed.

Front

What is the importance of congruence in geometry?

Back

Congruence helps in proving that two shapes are identical in form, which is essential for solving problems related to triangles and other geometric figures.

Front

How can you prove that two triangles are congruent using the SSS Postulate?

Back

Measure the lengths of all three sides of both triangles. If all three pairs of sides are equal, the triangles are congruent by the SSS Postulate.

Front

How can you prove that two triangles are congruent using the SAS Postulate?

Back

Measure two sides and the included angle of both triangles. If both pairs of sides and the included angle are equal, the triangles are congruent by the SAS Postulate.

Front

How can you prove that two triangles are congruent using the ASA Postulate?

Back

Measure two angles and the included side of both triangles. If both pairs of angles and the included side are equal, the triangles are congruent by the ASA Postulate.