Triangle Proofs and CPCTC

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used after proving triangles congruent to show that their corresponding parts are also congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS criterion for triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to all three sides of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

True or False: CPCTC can only be used after proving triangles congruent.

Back

True.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS criterion for triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the purpose of a congruence statement?

Back

A congruence statement indicates that two triangles are congruent and lists the corresponding vertices in order.

Tags

CCSS.HSG.CO.B.7

Front

If ∠Q ≅ ∠T and QR ≅ TR, what can be concluded about the triangles?

Back

The triangles can be proven congruent using the ASA criterion.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle and is crucial in criteria like SAS and ASA for proving triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for segments to be congruent?

Back

Congruent segments have the same length.

Tags

CCSS.8.G.A.2