IM2: DL Reasons in Triangle Congruent Proofs

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the Reflexive Property?

Back

Any geometric figure is congruent to itself.

Front

What is the definition of Alternate Interior Angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines.

Front

What is the definition of Corresponding Parts of Congruent Triangles?

Back

If two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

Front

What is the Angle Bisector Theorem?

Back

An angle bisector divides the angle into two equal parts.

Front

What is the SSS criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, meaning if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the ASA criterion for triangle congruence?

Back

ASA stands for Angle-Side-Angle, meaning if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the AAS criterion for triangle congruence?

Back

AAS stands for Angle-Angle-Side, meaning if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.