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 is a reflection in geometry?

Back

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

Front

What is the pre-image in a transformation?

Back

The original figure before any transformation is applied.

Front

What is the image in a transformation?

Back

The resulting figure after a transformation has been applied to the pre-image.

Front

How do you perform a reflection across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new point will be (x, -y).

Front

What is a rotation in geometry?

Back

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

Front

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

Back

To rotate a point (x, y) 90 degrees clockwise, the new coordinates will be (y, -x).

Front

What is the result of rotating a point 180 degrees around the origin?

Back

To rotate a point (x, y) 180 degrees, the new coordinates will be (-x, -y).

Front

What is the result of rotating a point 270 degrees clockwise around the origin?

Back

To rotate a point (x, y) 270 degrees clockwise, the new coordinates will be (-y, x).

Front

Is opening a door an example of a rotation?

Back

True, because it involves turning around a fixed point (the hinges).