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's dimensions remain unchanged.

Front

What are the three types of rigid transformations?

Back

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

Front

How do you perform a translation on a figure?

Back

To perform a translation, you move every point of the figure the same distance in the same direction.

Front

What is the result of reflecting a figure across the y-axis?

Back

Reflecting a figure across the y-axis changes the sign of the x-coordinates of the points in the figure.

Front

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

Back

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

Front

What is the effect of a 270-degree clockwise rotation on a point (x, y)?

Back

A 270-degree clockwise rotation transforms the point (x, y) to (-y, x).

Front

What is the center of rotation in a rotation transformation?

Back

The center of rotation is the fixed point around which a figure rotates.

Front

What information is needed to perform a rotation?

Back

To perform a rotation, you need the center of rotation, the angle of rotation, and the direction of rotation.

Front

How do you determine the coordinates of a point after a translation?

Back

To determine the new coordinates after a translation, add the translation values to the original coordinates.

Front

What happens to the coordinates of a point (x, y) after a reflection across the x-axis?

Back

After a reflection across the x-axis, the coordinates change from (x, y) to (x, -y).