When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. Let us look at some examples to understand how 90 degree clockwise rotation can be done on a figure.

In mathematics, the angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle. If a cart moves around the wheel once, the angle of rotation is 360°.

The order of rotational symmetry of an equilateral triangle is three. The angle of rotation is 120º.

Since 180 degrees is exactly halfway around a circle (which is 360 degrees), moving either clockwise or counterclockwise would get you to the same point.

90°

Rule. When we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure.

Answer: 12 turns. 360 degrees is a full turn, so if you multiply 30 degreed by 12, you go around in a circle.

Eight 45

1/4 of a circle would equal 90 degrees (1/4 of 360 = 90).

six 60

4.00 right angles

4 right angles

4 right

3.75

Comparing Revolutions, Degrees, and Radians

Acute angles