Math 2: Flashcard 8 Proofs with CPCTC

Front

What does CPCTC stand for?

Back

Corresponding parts of congruent triangles are congruent.

Tags

CCSS.HSG.CO.B.7

Front

What is the Reflexive Property?

Back

A property stating that any geometric figure is congruent to itself.

Front

What is the Transitive Property?

Back

If A = B and B = C, then A = C.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS (Side-Angle-Side) Postulate?

Back

If two sides and the included angle of one triangle are congruent 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 Vertical Angles Theorem?

Back

Vertical angles are congruent.

Tags

CCSS.7.G.B.5

Front

What is the definition of congruent segments?

Back

Segments that have the same length.

Tags

CCSS.8.G.A.2

Front

What is the definition of congruent angles?

Back

Angles that have the same measure.

Tags

CCSS.8.G.A.2

Front

What is the purpose of a proof in geometry?

Back

To provide a logical argument that demonstrates the truth of a statement.

Front

What is the definition of corresponding parts in triangles?

Back

Parts (sides or angles) that are in the same relative position in two congruent triangles.

Tags

CCSS.8.G.A.2

Front

How do you prove triangles are congruent using CPCTC?

Back

After proving two triangles are congruent, you can state that their corresponding parts are also congruent.

Tags

CCSS.HSG.SRT.B.5