Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure remains congruent after the transformation.

Front

What are the three types of rigid transformations?

Back

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

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that slides a figure from one position to another without turning it.

Front

What is a reflection in rigid transformations?

Back

Reflection is a rigid transformation that flips a figure over a line, creating a mirror image.

Front

Explain rotation in rigid transformations.

Back

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

Front

How do you identify a translation?

Back

A translation can be identified by the movement of a figure in a specific direction and distance without changing its orientation.

Front

What does it mean to reflect a figure across the y-axis?

Back

Reflecting a figure across the y-axis means that each point of the figure is mirrored over the y-axis, changing the sign of the x-coordinate.

Front

How do you determine the angle of rotation?

Back

The angle of rotation is determined by measuring the degree of turn from the original position of the figure to its new position.

Front

What is the effect of a 90-degree counterclockwise rotation on a point (x, y)?

Back

A 90-degree counterclockwise rotation transforms the point (x, y) to (-y, x).

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

A 180-degree rotation transforms the point (x, y) to (-x, -y).