Triangle Proofs

Front

What is the CPCTC Theorem?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Front

What is always the 1st statement in the reason column of a proof?

Back

Given.

Front

What does the Angle Bisector Theorem state?

Back

If a point is on the angle bisector of an angle, then it is equidistant from the sides of the angle.

Front

What is the Reflexive Property?

Back

A quantity is equal to itself (e.g., AB = AB).

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: 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.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the purpose of a proof in geometry?

Back

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

Front

What is the significance of the statement 'QY ≅ QY' in triangle proofs?

Back

It uses the Reflexive Property to show that a side is congruent to itself, often used to establish congruence.