Rigid Motions

Front

What is a rigid motion?

Back

A transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

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

Back

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

Front

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

Back

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

Front

How do you translate a point (x, y) 3 units to the left?

Back

The new coordinates will be (x - 3, y).

Front

How do you translate a point (x, y) 9 units down?

Back

The new coordinates will be (x, y - 9).

Front

What is the result of rotating a point 90 degrees clockwise around the origin?

Back

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

Front

What is the result of rotating a point 90 degrees counterclockwise around the origin?

Back

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

Front

What is the line of reflection?

Back

A line across which a figure is reflected, creating a mirror image.

Front

If a triangle is translated down 9 and right 4, what is the transformation rule?

Back

(x, y) -> (x + 4, y - 9).

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

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