Flashcardziz - Triangle Congruence and Properties

Front

What does it mean if two triangles are congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Postulate states that if two sides of one triangle are congruent to two sides of another triangle and the included angle is also congruent, then the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA 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 triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Theorem?

Back

The AAS 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 triangles are congruent.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are in the same relative position.

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Front

What information is needed to prove triangles congruent using the SAS postulate?

Back

You need two sides and the included angle to be congruent between the two triangles.

Front

Can you prove triangles congruent using both ASA and AAS?

Back

Yes, both ASA and AAS can be used to prove triangles congruent, as they are both valid congruence criteria.

Front

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

Back

The included angle is the angle formed between the two sides being compared; it must be congruent for the triangles to be proven congruent.

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