Rigid Transformations

Front

What are rigid transformations?

Back

Rigid transformations are movements of figures in a plane that preserve distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

List the three types of rigid transformations.

Back

The three types of rigid transformations are translations, rotations, and reflections.

Front

What is a translation in geometry?

Back

A translation is a rigid transformation that slides a figure in a straight line from one position to another without changing its shape, size, or orientation.

Front

How do you describe a translation?

Back

A translation can be described using a vector that indicates the direction and distance of the movement.

Front

What is a rotation in geometry?

Back

A rotation is a rigid transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is the significance of the angle in a rotation?

Back

The angle of rotation determines how far the figure is turned around the center of rotation.

Front

What is a reflection in geometry?

Back

A reflection is a rigid transformation that flips a figure over a line, known as the line of reflection, creating a mirror image.

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

How does a reflection affect the sides and angles of a shape?

Back

A reflection does not change the lengths of sides or the measures of angles; the shape remains congruent to the original.

Front

What is the relationship between the x-axis and the direction of movement in a coordinate plane?

Back

The x-axis is horizontal, and movement along the x-axis can be described as left or right.