Congruent Shapes and Rigid Transformations

Front

What are congruent shapes?

Back

Congruent shapes are figures that have the same size and shape. This means that all corresponding sides and angles are equal.

Front

What is a rigid transformation?

Back

A rigid transformation is a movement of a shape that does not change its size or shape. The three types of rigid transformations are translation, rotation, and reflection.

Front

What is reflection in geometry?

Back

Reflection is a type of rigid transformation where a shape is flipped over a line, creating a mirror image.

Front

What is rotation in geometry?

Back

Rotation is a rigid transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is translation in geometry?

Back

Translation is a rigid transformation that slides a shape from one position to another without changing its size, shape, or orientation.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure in degrees.

Front

If Δ ABC is congruent to Δ DEF, what can we say about their corresponding sides?

Back

The corresponding sides of congruent triangles are equal in length.

Front

How can you determine if two shapes are congruent?

Back

Two shapes can be determined to be congruent if you can superimpose one shape onto the other without any gaps or overlaps.

Front

What is the significance of corresponding angles in congruent shapes?

Back

In congruent shapes, corresponding angles are equal, which helps in proving the congruence of the shapes.

Front

What is the relationship between the sides and angles in congruent triangles?

Back

In congruent triangles, the lengths of corresponding sides are equal, and the measures of corresponding angles are also equal.