# What is the formula for a 270 degree counterclockwise rotation?

## What is the formula for a 270 degree counterclockwise rotation?

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

## What is the rule for rotation 270 clockwise?

Summary: The algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x).

How do you rotate a 270 degree clockwise around the origin?

The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .

How is rotation formula derived?

Deriving the Rotation Formula. When points A, B, C are on a line, the ratio AC/AB is taken to be a signed ratio, which is negative is A is between B and C. Draw on graph paper the point P with coordinates (3,4). Then P’ is obtained by rotating P by 90 degrees with center O = (0,0).

### What is the rule for a rotation of 180 degrees counterclockwise?

Rule of 180° Rotation If the point (x,y) is rotating about the origin in 180-degrees counterclockwise direction, then the new position of the point becomes (-x,-y).

### How do you calculate clockwise rotation?

Clockwise Rotations (CW) follow the path of the hands of a clock. These rotations are denoted by negative numbers. Counterclockwise Rotations (CCW) follow the path in the opposite direction of the hands of a clock. These rotations are denoted by positive numbers.

What is the rule for rotating 270 degrees counterclockwise?

When we rotate a figure of 270 degree counterclockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. Let K (-4, -4), L (0, -4), M (0, -2) and N (-4, -2) be the vertices of a rectangle.

What is the formula for a 270 degree rotation?

90 degrees rotation clockwise. (x,y) → (y,-x)

• 180 degrees rotation. (x,y) → (-x,-y)
• 90 degrees rotation counterclockwise (also clockwise 270) (x,y) → (-y,x)
• ## What is the rotation rule for 270 degrees?

The rules for the other usual degree rotations are: For 180 degrees apply (x, y) ——–> (-x, -y) For 270 degrees apply (x, y) ——–> (j, -x) What are the two requirements for rotation in geometry? Each rotation has two properties: the center point and the angle.

## How to rotate 270 counterclockwise?

270 degree counterclockwise rotation The rule given below can be used to do a counterclockwise rotation of 270 degree. When we rotate a figure of 270 degree counterclockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.