G. Congruent Triangles Postulates and Congruent Statements CFA

Front

What does it mean when we say ∆ABC≅∆XYZ?

Back

It means that triangle ABC is congruent to triangle XYZ, indicating that their corresponding sides and angles are equal.

Front

What is the SSS postulate?

Back

The SSS (Side-Side-Side) postulate states that if three sides of one triangle are equal 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 equal to two sides and the included angle of another triangle, then the 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 equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS postulate?

Back

The AAS (Angle-Angle-Side) postulate 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

In congruent triangles, what does 'corresponding parts' refer to?

Back

Corresponding parts refer to the sides and angles of the triangles that are equal to each other.

Front

If AB≅XY, what can we conclude about the triangles?

Back

We can conclude that side AB of triangle ABC is equal in length to side XY of triangle XYZ.

Front

What is the significance of congruence in triangles?

Back

Congruence in triangles indicates that the triangles have the same shape and size, allowing for the use of corresponding parts in proofs and problem-solving.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that their corresponding sides and angles are not equal, indicating different shapes or sizes.

Front

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

Back

To determine if two triangles are congruent using the SAS postulate, check if two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.