Congruent

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the difference between congruent and similar shapes?

Back

Congruent shapes are identical in size and shape, while similar shapes have the same shape but may differ in size.

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent using criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the significance of the term 'not congruent'?

Back

'Not congruent' indicates that two shapes do not have the same size and shape, meaning at least one pair of corresponding sides or angles is different.

Front

Can two shapes be similar but not congruent?

Back

Yes, two shapes can be similar if they have the same shape but are different in size, meaning their corresponding angles are equal but their corresponding sides are proportional.

Front

What is the definition of a congruence transformation?

Back

A congruence transformation is a movement of a shape that preserves its size and shape, including translations, rotations, and reflections.

Front

What is the role of corresponding parts in congruence?

Back

Corresponding parts are the sides and angles of two shapes that are matched up to determine if the shapes are congruent.

Front

What is the Angle-Angle (AA) criterion for similarity?

Back

The Angle-Angle criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

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

Back

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

Front

What is the purpose of using congruence in geometry?

Back

Congruence is used in geometry to prove that two shapes are identical in size and shape, which is essential for solving problems involving geometric figures.