rigid transformation

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

What happens to a point when it is translated 5 units to the right and 1 unit up?

Back

The new coordinates of the point are found by adding 5 to the x-coordinate and 1 to the y-coordinate.

Front

Translate the point A (-3, 4) right 5 and up 1. What are the new coordinates?

Back

(2, 5)

Front

What is a reflection in geometry?

Back

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

Front

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

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What is the result of reflecting a point across the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

What does a 90 degrees clockwise rotation about the origin do to a point (x, y)?

Back

The new coordinates become (y, -x).

Front

What does a 90 degrees counterclockwise rotation about the origin do to a point (x, y)?

Back

The new coordinates become (-y, x).

Front

If a figure is reflected over the y-axis, how do the coordinates change?

Back

The x-coordinates of all points change sign.

Front

If a figure is reflected over the x-axis, how do the coordinates change?

Back

The y-coordinates of all points change sign.