Contents

- 1 How do you tell if a rotation is clockwise or counterclockwise?
- 2 How do you rotate a shape about the origin?
- 3 What is the formula for a 90 degree clockwise rotation?
- 4 What is the rule for a 180 degree clockwise rotation?
- 5 What are the rules for clockwise rotations?
- 6 What is the rule for 360 degree rotation?
- 7 What is rotation example?
- 8 Why don’t you need to know the direction of rotation when the angle of rotation is 180 degrees?
- 9 What is the angle of rotation of a triangle?
- 10 How do you rotate a shape with a point?
- 11 How do you rotate a shape 45 degrees?

## How do you tell if a rotation is clockwise or counterclockwise?

Rotations may be **clockwise or counterclockwise**. **When** working in the coordinate plane: assume the center of **rotation** to be the origin unless told otherwise. assume a positive angle of **rotation** turns the figure **counterclockwise**, and a negative angle turns the figure **clockwise** (unless told otherwise).

## How do you rotate a shape about the origin?

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 formula for a 90 degree clockwise rotation?

If you want to do a **clockwise rotation** follow these **formulas**: **90** = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b).

## What is the rule for a 180 degree clockwise rotation?

**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.

## What are the rules for clockwise rotations?

**Terms in this set (9)**

- (-y, x) 90
**degree rotation**counterclockwise around the origin. - (y, -x) 90
**degree rotation**clockwise about the origin. - (-x, -y) 180
**degree rotation**clockwise and counterclockwise about the origin. - (-y, x) 270
**degree rotation**clockwise about the origin. - (y, -x)
- (x, -y)
- (-x, y)
- (y, x)

## What is the rule for 360 degree rotation?

**360**° **Rotation** A **rotation** of **360**° about a point returns a figure to its original position. That is, the image under a **360**° **rotation** is equal to the preimage. Copy each figure and point K. Then use a protractor and ruler to draw a **rotation** of the figure the given number of **degrees** about K.

## What is rotation example?

**Rotation** is the process or act of turning or circling around something. An **example of rotation** is the earth’s orbit around the sun. An **example of rotation** is a group of people holding hands in a circle and walking in the same direction. noun.

## Why don’t you need to know the direction of rotation when the angle of rotation is 180 degrees?

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.

## What is the angle of rotation of a triangle?

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

## How do you rotate a shape with a point?

A **point** (a, b) **rotated** around a **point** (x, y) 90 degrees will transform to **point** (-(b-y) + x, (a-x) + y). A **point** (a, b) **rotated** around a **point** (x, y) 180 degrees will transform to **point** (-(a – x) + x, -(b – y) + y).

## How do you rotate a shape 45 degrees?

If we represent the point (x,y) by the complex number x+iy, then we can **rotate** it **45 degrees** clockwise simply by multiplying by the complex number (1−i)/√2 and then reading off their x and y coordinates. (x+iy)(1−i)/√2=((x+y)+i(y−x))/√2=x+y√2+iy−x√2. Therefore, the **rotated** coordinates of (x,y) are (x+y√2,y−x√2).