triangle congruence proofs1

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are congruent if they have the same size and shape, which can be proven using various congruence criteria.

Front

List the three main criteria for triangle congruence.

Back

1. Side-Side-Side (SSS) Congruence 2. Side-Angle-Side (SAS) Congruence 3. Angle-Side-Angle (ASA) Congruence

Front

What does the Reflexive Property state in the context of triangle congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning that a side or angle in a triangle is equal to itself.

Front

Explain the Alternate Interior Angles Theorem.

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What does CPCTC stand for and when is it used?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent' and is used to prove that corresponding sides and angles of congruent triangles are equal.

Front

What is the significance of the Definition of Midpoint in triangle proofs?

Back

The Definition of Midpoint states that a midpoint divides a segment into two equal parts, which is crucial in proving triangle congruence.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

Two triangles are congruent using the SSS criterion if all three sides of one triangle are equal to the three sides of the other triangle.

Front

What is the Angle-Angle-Side (AAS) criterion for triangle congruence?

Back

The AAS criterion states that 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 purpose of a congruence statement in geometry?

Back

A congruence statement indicates that two geometric figures are congruent and specifies which parts correspond to each other.