Rotations

Front

What is a rotation in geometry?

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 specific direction.

Front

What is the center of rotation?

Back

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

Front

How do you rotate a point 90 degrees counterclockwise around the origin?

Back

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

Front

How do you rotate a point 180 degrees around the origin?

Back

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

Front

How do you rotate a point 270 degrees counterclockwise around the origin?

Back

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

Front

What is the image of the point (2, 3) after a 90 degrees clockwise rotation around the origin?

Back

The image will be (3, -2).

Front

What is the image of the point (-4, 5) after a 180 degrees rotation around the origin?

Back

The image will be (4, -5).

Front

What is the image of the point (1, -1) after a 270 degrees counterclockwise rotation around the origin?

Back

The image will be (-1, -1).

Front

What does it mean for a figure to be congruent after rotation?

Back

A figure is congruent after rotation if it has the same shape and size as the original figure, just in a different orientation.

Front

What is the effect of rotating a figure 360 degrees around a point?

Back

Rotating a figure 360 degrees around a point results in the figure being in the same position as it started.