Chapter SR14, Problem 1P

Solution

Find the coordinate of $N(-3,8)$ after the given transformation. For rotations, rotate about the origin. Rotate 180.

Coordinate of N after 180° rotation - $N\text{'}(3,-8)$ .

Given:

Coordinate of $N(-3,8)$ .

Concept Used:

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

Calculation:

Coordinate of $N(-3,8)$ .

On rotation $N(-3,8)$ to 180° the coordinate of N will be $N\text{'}(3,-8)$ .

Graphing the coordinate of $N(-3,8)$ and $N\text{'}(3,-8)$ .