Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including rotation, reflection, and translation.

Front

What is rotation in rigid transformations?

Back

A transformation that turns a figure around a fixed point called the center of rotation.

Front

What is translation in rigid transformations?

Back

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

Front

What is reflection in rigid transformations?

Back

A transformation that creates a mirror image of a figure over a line called the line of reflection.

Front

What happens to the coordinates of a point (x, y) when it is reflected over the x-axis?

Back

The new coordinates will be (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is reflected over the y-axis?

Back

The new coordinates will be (-x, y).

Front

What is the center of rotation?

Back

The fixed point around which a figure rotates during a rotation transformation.

Front

How do you identify a translation transformation?

Back

By observing that the figure has moved in a straight line without any rotation or reflection.

Front

What is the line of reflection?

Back

The line over which a figure is reflected to create a mirror image.

Front

If a point (3, 5) is translated 4 units to the right and 2 units down, what are the new coordinates?

Back

(7, 3).