Triangle Congruence

Front

What does the SSS Postulate state?

Back

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

What does the SAS Postulate state?

Back

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 does the ASA Postulate state?

Back

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 does the AAS Theorem state?

Back

If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the two triangles are congruent.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

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

Back

No, knowing only one angle is not sufficient to determine congruence; additional information about sides or other angles is needed.

Front

What is the importance of the included angle in the SAS Postulate?

Back

The included angle is crucial because it ensures that the two triangles are positioned in the same way, allowing for accurate comparison.

Front

How can you prove that two triangles are not congruent?

Back

If any corresponding sides or angles do not match, the triangles cannot be congruent.

Front

What is the role of the AAS Theorem in triangle congruence?

Back

The AAS Theorem allows for proving triangle congruence using two angles and a non-included side, providing flexibility in proofs.