Rotations

Front

What is a 180 degree rotation in the coordinate plane?

Back

A transformation that turns a figure around a point (usually the origin) by 180 degrees, resulting in the coordinates changing from (x, y) to (-x, -y).

Front

What is the rule for a 90 degree counterclockwise rotation?

Back

The transformation rule is (x, y) → (-y, x).

Front

What happens to the coordinates of a point when it undergoes a 90 degree clockwise rotation?

Back

The coordinates change from (x, y) to (y, -x).

Front

What is the result of rotating the point (7, 8) 90 degrees counterclockwise around the origin?

Back

The image of the point is (-8, 7).

Front

How do you identify a 180 degree rotation visually?

Back

The figure appears flipped upside down, with each point moving to the opposite side of the center of rotation.

Front

What is the transformation rule for a 180 degree rotation?

Back

The transformation rule is (x, y) → (-x, -y).

Front

If triangle B is rotated 90° counterclockwise, what is the new position of point (3, 4)?

Back

The new position will be (-4, 3).

Front

What is the effect of a 360 degree rotation on a figure?

Back

The figure remains unchanged, as it completes a full turn around the center of rotation.

Front

How can you determine the direction of rotation (clockwise or counterclockwise)?

Back

Clockwise rotation moves points in the direction of the hands of a clock, while counterclockwise moves them in the opposite direction.

Front

What is the visual representation of a 90 degree clockwise rotation?

Back

The figure rotates to the right, with points moving in a circular path around the center of rotation.