CPCTC proofs

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.'

Tags

CCSS.HSG.SRT.B.5

Front

What is the purpose of CPCTC in triangle proofs?

Back

CPCTC is used to show that corresponding parts of triangles that have been proven congruent are also congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, e.g., AB = AB.

Front

What is the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA Congruence Postulate?

Back

The ASA (Angle-Side-Angle) Congruence 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate states that 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 is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that an angle bisector divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Tags

CCSS.HSG.CO.C.9

Front

What is a common side in congruent triangles?

Back

A common side is a side that is shared by two triangles, which helps in proving their congruence.

Tags

CCSS.8.G.A.2

Front

What is the significance of identifying common angles or sides in triangle proofs?

Back

Identifying common angles or sides helps establish congruence between triangles, which is essential for applying CPCTC.

Tags

CCSS.HSG.SRT.B.5