Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translation, rotation, and reflection.

Front

What is translation in geometry?

Back

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

Front

What is rotation in geometry?

Back

Rotation is a rigid transformation that turns a figure around a fixed point, known as the center of rotation.

Front

What is reflection in geometry?

Back

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

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate. The new point will be (-x, y).

Front

What happens to the coordinates of a point when it is rotated 90° clockwise?

Back

When a point (x, y) is rotated 90° clockwise, the new coordinates become (y, -x).

Front

What happens to the coordinates of a point when it is rotated 180°?

Back

When a point (x, y) is rotated 180°, the new coordinates become (-x, -y).

Front

What happens to the coordinates of a point when it is rotated 270° clockwise?

Back

When a point (x, y) is rotated 270° clockwise, the new coordinates become (-y, x).

Front

What is the image of a figure after a transformation?

Back

The image of a figure after a transformation is the new position or shape of the figure after the transformation has been applied.

Front

What is the center of rotation?

Back

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