Congruency

Front

What does congruency mean in geometry?

Back

Congruency means that two figures have the same shape and size, and can be made to coincide by rigid transformations such as translation, rotation, or reflection.

Front

What are congruent segments?

Back

Congruent segments are line segments that have the same length.

Front

How can you determine if two triangles are congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal. This can be established using criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), or ASA (Angle-Side-Angle).

Front

What is the significance of corresponding angles in congruent figures?

Back

In congruent figures, corresponding angles are equal in measure.

Front

If two polygons are congruent, what can be said about their corresponding sides?

Back

If two polygons are congruent, their corresponding sides are equal in length.

Front

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

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Front

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

Back

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

Front

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

Back

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

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, such as translation, rotation, or reflection.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.