rigid transformation

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 and angles remain unchanged.

Front

What are the types of rigid transformations?

Back

The types of rigid transformations include translations, rotations, and reflections.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

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

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape or orientation.

Front

How do you identify a reflection over the y-axis?

Back

To identify a reflection over the y-axis, the x-coordinates of the points in the figure change sign, while the y-coordinates remain the same.

Front

How do you identify a reflection over the x-axis?

Back

To identify a reflection over the x-axis, the y-coordinates of the points in the figure change sign, while the x-coordinates remain the same.

Front

What happens to coordinates during a 90° clockwise rotation about the origin?

Back

During a 90° clockwise rotation about the origin, the coordinates (x, y) change to (y, -x).

Front

What happens to coordinates during a 90° counterclockwise rotation about the origin?

Back

During a 90° counterclockwise rotation about the origin, the coordinates (x, y) change to (-y, x).

Front

What is the effect of a 180° rotation about the origin on coordinates?

Back

A 180° rotation about the origin changes the coordinates (x, y) to (-x, -y).