Triangle Congruence Criteria Test Review

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that a geometric figure is congruent to itself, which is often used to establish congruence in proofs.

Front

What does the congruency statement

Back

It implies that angle F is congruent to angle G.

Front

What must be stated before using the Hypotenuse-Leg (HL) theorem in a proof?

Back

You must first state that there are right triangles involved.

Front

What additional information is required for two triangles to be congruent by Angle-Side-Angle (ASA)?

Back

You need to know the length of the side between the two angles.

Front

What is the Vertical Angles Theorem?

Back

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

Front

What are the three main triangle congruence criteria?

Back

The three main criteria are Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA).

Front

How does the Side-Angle-Side (SAS) criterion work?

Back

The SAS criterion states that 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 is the significance of the Angle-Angle-Side (AAS) criterion?

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 definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the purpose of using triangle congruence in proofs?

Back

Triangle congruence is used in proofs to establish that two triangles are identical in shape and size, allowing for further deductions about their properties.