Congruent Figures

Front

What are congruent figures?

Back

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

Front

If two triangles are congruent, what can be said about their corresponding sides and angles?

Back

If two triangles are congruent, their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two figures are congruent. It lists the corresponding parts of the figures in order, such as ΔABC ≅ ΔDEF.

Front

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

Back

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

Front

What does the SAS criterion for triangle congruence state?

Back

The SAS (Side-Angle-Side) criterion states that if two sides of one triangle are equal to two sides of another triangle, and the included angle is equal, then the triangles are congruent.

Front

Explain 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 the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does the term 'corresponding parts' refer to in congruent figures?

Back

'Corresponding parts' refer to the sides and angles of congruent figures that match each other in position and measure.

Front

Can congruent figures have different orientations?

Back

Yes, congruent figures can have different orientations, meaning they can be flipped or rotated, but they will still be congruent.

Front

What is the significance of congruent angles in congruent triangles?

Back

Congruent angles in congruent triangles indicate that the triangles have the same shape, which is essential for proving triangle congruence.