Triangle Congruence Proofs with CPCTC

Front

What is CPCTC?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent'. It is used after proving two triangles are congruent to state that their corresponding parts are also congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side'. It is a criterion for triangle congruence 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle'. It is a criterion for triangle congruence that states 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for 'Angle-Angle-Side'. It is a criterion for triangle congruence that states if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines cross. They are always congruent.

Tags

CCSS.7.G.B.5

Front

State the definition of congruent triangles.

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the significance of proving triangles congruent?

Back

Proving triangles congruent allows us to conclude that their corresponding parts (sides and angles) are also congruent, which is essential in solving many geometric problems.

Tags

CCSS.8.G.A.2

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that establishes the truth of a statement or theorem based on previously established statements, definitions, and axioms.

Tags

CCSS.7.G.A.2

Front

What is a corresponding part in triangle congruence?

Back

A corresponding part in triangle congruence refers to the sides or angles of one triangle that match with the sides or angles of another triangle after they have been proven congruent.

Tags

CCSS.8.G.A.2