What is the 90 degree rotation rule?

The rule for a rotation by 90° about the origin is (x,y)→(−y,x) .

What happens when you rotate 90 degrees around the origin?

90 Degree Rotation When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

What is the rule for rotating 90 degrees CCW?

90° counterclockwise rotation: (x,y) becomes (-y,x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y) 270° clockwise rotation: (x,y) becomes (-y,x)

What is the origin in rotation?

The origin is the centre of rotation. The rectangle ABCD has been rotated 180° about the origin (the direction is not required because it is a half turn). 1.

How do you rotate about the origin?

Direction of Rotation: Counterclockwise or clockwise direction. Positive rotations are counterclockwise. Negative rotations are clockwise. For example, to rotate the point (2, 5) counterclockwise about the origin by 90 degrees, we use the rule: (x,y)→(−y,x) ( x , y ) → ( − y , x ) .

What is 90 degrees in an angle?

In geometry and trigonometry, a right angle is an angle of exactly 90 degrees or π/2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.

How to do a rotation of 90 degrees about the origin?

The rule given below can be used to do a rotation of 90 degrees about the origin. When we rotate a figure of 90 degrees about the origin, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.

How do you rotate a figure 90 degrees clockwise?

90 DEGREE CLOCKWISE ROTATION ABOUT THE ORIGIN The rule given below can be used to do a rotation of 90 degree about the origin. When we rotate a figure of 90 degrees clockwise about the orign, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.

How do you rotate around the origin in the coordinate plane?

Scroll down the page for more examples and solutions on rotation about the origin in the coordinate plane. Rotate 90 degrees. Rotating a polygon around the origin. For a 90 degree rotation around the origin, switch the x,y values of each ordered pair for the location of the new point.

What is the angle of rotation of a figure?

A positive angle of rotation turns the figure counterclockwise, and a negative angle of rotation turns the figure in a clockwise direction. The following figures show rotation of 90°, 180°, and 270° about the origin and the relationships between the points in the source and the image.