Congruent Triangle Proofs

Front

What is a congruent triangle?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What does it mean for a line to bisect another line?

Back

To bisect a line means to divide it into two equal parts.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What is the definition of a midpoint?

Back

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

Front

What does CPCTC stand for?

Back

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

Front

What is the Vertical Angles Theorem?

Back

The Vertical Angles Theorem states that opposite angles formed by two intersecting lines are equal.

Front

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

Back

The SAS 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.

Front

What is the significance of the Definition of Congruence?

Back

The Definition of Congruence states that two figures are congruent if they can be made to coincide by rigid motions (translations, rotations, reflections).

Front

How do you prove triangles are congruent using the SSS (Side-Side-Side) Postulate?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the purpose of a proof in geometry?

Back

A proof is a logical argument that demonstrates the truth of a statement or theorem using definitions, properties, and previously established results.