GW Triangle Proofs and CPCTC

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the CPCTC theorem?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, which states that if two triangles are proven to be congruent, then their corresponding sides and angles are also congruent.

Front

What is the SSS postulate in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states 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 Reflexive Property of congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning that for any triangle ABC, triangle ABC is congruent to triangle ABC.

Front

How can you determine if two triangles are congruent using the AA criterion?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar, and if the sides are proportional, they can also be considered congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that two triangles are identical in shape and size, while similarity means that two triangles have the same shape but may differ in size.

Front

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

Back

The included angle is crucial in the SAS postulate because it is the angle formed between the two sides being compared, and it must be equal for the triangles to be congruent.

Front

What is the significance of the congruence statement in triangle proofs?

Back

A congruence statement indicates which parts of the triangles are congruent, allowing for the application of CPCTC to prove that corresponding parts are equal.

Front

What is the definition of congruent triangles?

Back

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