Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in size and shape. They can be rotated, reflected, or translated, but they remain the same size and shape.

Front

If two sides of a triangle are congruent, what can we say about the angles opposite those sides?

Back

The angles opposite the congruent sides are also congruent.

Front

What is the symbol used to denote congruence?

Back

The symbol for congruence is '≅'.

Front

If triangle ABC is congruent to triangle DEF, how can we write this in a congruence statement?

Back

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent if their corresponding sides and angles are equal. This can be checked using criteria like SSS, SAS, ASA, AAS, or HL.

Front

What is the SSS criterion for triangle congruence?

Back

The SSS (Side-Side-Side) criterion states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the SAS criterion for triangle congruence?

Back

The SAS (Side-Angle-Side) criterion 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 ASA criterion for triangle congruence?

Back

The ASA (Angle-Side-Angle) criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS criterion for triangle congruence?

Back

The AAS (Angle-Angle-Side) criterion states that if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.