Identify Transformations: Rigid Motions and Dilations

Front

What is a rigid motion?

Back

A transformation that preserves distance and angle measures, including translations, rotations, and reflections.

Front

What is dilation in geometry?

Back

A transformation that alters the size of a figure but maintains its shape, defined by a scale factor.

Front

What is the scale factor in a dilation?

Back

The ratio of the distance from the center of dilation to a point on the image to the distance from the center of dilation to the corresponding point on the original figure.

Front

What happens to the coordinates of a point (x, y) when dilated by a scale factor of k?

Back

The new coordinates become (kx, ky).

Front

What is the effect of a 90° clockwise rotation on the point (x, y)?

Back

The new coordinates become (y, -x).

Front

What is the effect of a 90° counterclockwise rotation on the point (x, y)?

Back

The new coordinates become (-y, x).

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 result of reflecting a point (x, y) across the x-axis?

Back

The new coordinates become (x, -y).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The new coordinates become (-x, y).

Front

What is the difference between rigid motions and dilations?

Back

Rigid motions preserve size and shape, while dilations change the size but maintain the shape.