Triangle Proofs and CPCTC

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Front

What are the valid triangle congruence criteria?

Back

The valid triangle congruence criteria are ASA (Angle-Side-Angle), SAS (Side-Angle-Side), and SSS (Side-Side-Side).

Front

Which triangle congruence criterion is NOT valid?

Back

SSA (Side-Side-Angle) is NOT a valid criterion for proving triangle congruence.

Front

What does the acronym ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle.

Front

What does the acronym SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side.

Front

What does the acronym SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side.

Front

If two angles of one triangle are congruent to two angles of another triangle, what can be concluded?

Back

The two triangles are similar, and if the sides are proportional, they are also congruent.

Front

What is the significance of congruent segments in triangle proofs?

Back

Congruent segments indicate that two sides of triangles are equal in length, which is essential for proving triangle congruence.

Front

What is the significance of congruent angles in triangle proofs?

Back

Congruent angles indicate that two angles of triangles are equal in measure, which is essential for proving triangle congruence.

Front

How do you write a congruence statement for triangles?

Back

A congruence statement lists the corresponding vertices of congruent triangles in order, e.g., Triangle ABC ≅ Triangle DEF.