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 definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Tags

CCSS.HSG.CO.A.1

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, e.g., AB = AB.

Front

What is the Angle Bisector Theorem?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What is the definition of segment bisector?

Back

A segment bisector is a point, line, ray, or segment that divides a segment into two equal parts.

Tags

CCSS.HSG.CO.A.1

Front

What is the purpose of CPCTC in proofs?

Back

CPCTC is used to show that corresponding parts of congruent triangles are equal.

Tags

CCSS.HSG.SRT.B.5

Front

What is a common side in triangle proofs?

Back

A common side is a side that is shared by two triangles in a proof.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

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

Tags

CCSS.8.G.A.2

Front

What is the Substitution Property?

Back

The Substitution Property states that if two quantities are equal, one can be substituted for the other in any expression.

Tags

CCSS.7.EE.A.1

Front

What is the significance of the statement 'AD = AD' in proofs?

Back

The statement 'AD = AD' is an example of the Reflexive Property, indicating that a segment is equal to itself.