Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is a translation in geometry?

Back

A transformation that moves every point of a figure the same distance in a given direction.

Front

How do you perform a translation of a point?

Back

To translate a point, add the translation vector to the coordinates of the point.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line over which a figure is reflected; each point on the figure is equidistant from the line.

Front

What is a rotation in geometry?

Back

A transformation that turns a figure about a fixed point at a specified angle.

Front

What is the center of rotation?

Back

The fixed point around which a figure is rotated.

Front

What is the angle of rotation?

Back

The measure of the degree through which a figure is rotated around a point.

Front

What is the image of a transformation?

Back

The resulting figure after a transformation has been applied to the pre-image.

Front

What is a pre-image?

Back

The original figure before any transformation is applied.