Rigid Transformation Sequences

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 does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size, shape, and angles.

Front

What is a translation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

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

Front

How do you describe a sequence of transformations?

Back

A sequence of transformations is a series of rigid transformations applied one after the other to change the position or orientation of a figure.

Front

What is the effect 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.

Front

What is the effect of reflecting a figure across the y-axis?

Back

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

Front

What happens to a figure when it is rotated 90 degrees clockwise around the origin?

Back

The coordinates of each point (x, y) change to (y, -x).

Front

What happens to a figure when it is rotated 90 degrees counterclockwise around the origin?

Back

The coordinates of each point (x, y) change to (-y, x).