Rotations

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified 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

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

Back

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

Front

What are the new coordinates of the point (2, 3) after a 90 degrees counterclockwise rotation around the origin?

Back

The new coordinates will be (-3, 2).

Front

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

Back

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

Front

What are the new coordinates of the point (-1, 4) after a 180 degrees rotation around the origin?

Back

The new coordinates will be (1, -4).

Front

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

Back

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

Front

What are the new coordinates of the point (3, -2) after a 270 degrees counterclockwise rotation around the origin?

Back

The new coordinates will be (-2, -3).

Front

What is the effect of rotating a figure 360 degrees?

Back

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

Front

What is the difference between clockwise and counterclockwise rotation?

Back

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