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 result of rotating the point (3, 4) 90 degrees counterclockwise?

Back

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

Front

What is the result of rotating the point (1, -2) 180 degrees around the origin?

Back

The new coordinates will be (-1, 2).

Front

What is the result of rotating the point (-5, 8) 270 degrees counterclockwise?

Back

The new coordinates will be (8, 5).

Front

What does it mean if two figures are congruent after rotation?

Back

It means that the figures have the same shape and size, and can be made to coincide by rotation.

Front

What is the angle of rotation for a full turn?

Back

The angle of rotation for a full turn is 360 degrees.