Rotations of the Coordinate Plane

Front

What is a rotation in the coordinate plane?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specified direction.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

What does a 90° counterclockwise rotation look like?

Back

A 90° counterclockwise rotation moves each point of the figure to a position that is 90 degrees to the left around the center of rotation.

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360°.

Front

What happens to the coordinates of a point (x, y) after a 180° rotation about the origin?

Back

After a 180° rotation about the origin, the coordinates of the point (x, y) become (-x, -y).

Front

How do you determine the quadrant of a point after a rotation?

Back

To determine the quadrant of a point after a rotation, analyze the new coordinates based on the angle of rotation and the original quadrant.

Front

What is the result of rotating a figure 270° counterclockwise about the origin?

Back

Rotating a figure 270° counterclockwise about the origin is equivalent to a 90° clockwise rotation.

Front

What is the relationship between rotations and congruence?

Back

Rotations, like translations and reflections, produce congruent figures, meaning the size and shape remain unchanged.

Front

What is a translation in the coordinate plane?

Back

A translation is a transformation that slides a figure from one position to another without turning it.

Front

What is a reflection in the coordinate plane?

Back

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