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 translation in geometry?

Back

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

Front

What does it mean to reflect a figure?

Back

To flip a figure over a line (the line of reflection) to create a mirror image.

Front

What is rotation in geometry?

Back

A rigid transformation that turns a figure around a fixed point (the center of rotation) by a certain angle.

Front

What is the line of reflection?

Back

The line over which a figure is reflected; each point of the original figure is the same distance from the line as its image.

Front

How do you perform a 90-degree clockwise rotation?

Back

To rotate a point (x, y) 90 degrees clockwise around the origin, the new coordinates will be (y, -x).

Front

What is the difference between a translation and a reflection?

Back

A translation slides a figure without changing its orientation, while a reflection flips it over a line, changing its orientation.

Front

What is a counterclockwise rotation?

Back

A rotation that turns a figure in the opposite direction of the clock hands, typically measured in degrees.

Front

What is the effect of a 180-degree rotation?

Back

A 180-degree rotation turns a figure upside down, resulting in a figure that is congruent to the original but oriented differently.

Front

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

Back

The y-coordinates of the points of the figure change sign, while the x-coordinates remain the same.