# G.GCO.4 Exploring Rotations Around a Point not the Origin

- Author:
- Dan Dale, Tim Brzezinski

- Topic:
- Rotation

## DIRECTIONS:

## 1.

**Let C = (2,-2) be the point about which points A and B (and Daffy Duck) are rotated. **
Place

**point**and

*A*at (2, 3)**point**. When Daffy was rotated 90 degrees: What are the coordinates (

*B*at (5, 1)*x*,

*y*) of the image of

*What are the coordinates (*

**A**?*x*,

*y*) of the image of

*?*

**B**## Steps to Rotate an object 90 degrees counter-clockwise around (2, -2)

## 2.

**Let C = (2,-2) be the point about which points A and B (and Daffy Duck) are rotated. **
Place

**point**and

*A*at (2, 3)**point**. When Daffy was rotated 180 degrees: What are the coordinates (

*B*at (5, 1)*x*,

*y*) of the image of

*What are the coordinates (*

**A**?*x*,

*y*) of the image of

*?*

**B**## 3.

**Let C = (2,-2) be the point about which points A and B (and Daffy Duck) are rotated. **
Place

**point**and

*A*at (2, 3)**point**. When Daffy was rotated 270 degrees: What are the coordinates (

*B*at (5, 1)*x*,

*y*) of the image of

*What are the coordinates (*

**A**?*x*,

*y*) of the image of

*?*

**B**## Let C = (-1, 3) be the point about which points A and B (and Daffy Duck) are rotated. Place point A at (1, 4) and B at (6, 2).

On Graph Paper, Rotate point A and point B 90 degrees counter-clockwise.
What are the coordinates (*x*, *y*) of the image of * A?
*What are the coordinates (

*x*,

*y*) of the image of

*?*

**B**