Rigid Motions

Front

What is a rigid motion?

Back

A transformation that preserves size and shape.

Front

What does a translation do to a figure?

Back

It slides the figure to a new location without changing its size or shape.

Front

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

Back

The new coordinates will be (y, -x).

Front

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

Back

The new coordinates will be (-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 happens to the coordinates of a point (x, y) when reflected across the x-axis?

Back

The new coordinates will be (x, -y).

Front

What happens to the coordinates of a point (x, y) when reflected across the y-axis?

Back

The new coordinates will be (-x, y).

Front

What is the transformation represented by (x + 3, y - 2)?

Back

A translation 3 units to the right and 2 units down.

Front

What is the transformation represented by (x - 5, y + 4)?

Back

A translation 5 units to the left and 4 units up.

Front

What does it mean for a transformation to preserve size?

Back

The distances between points in the figure remain unchanged.