Answer:
The coordinates of the image are (3 , 2)
Step-by-step explanation:
* Lets explain how to solve the problem
- If point (x , y) rotated about the origin by angle 90° anti-clock wise
∴ Its image is (-y , x)
- If point (x , y) rotated about the origin by angle 180° anti-clock wise
∴ Its image is (-x , -y)
- If point (x , y) rotated about the origin by angle 270° anti-clock wise
∴ Its image is (y , -x)
- If point (x , y) rotated about the origin by angle 90° clock wise
∴ Its image is (y , -x)
- If point (x , y) rotated about the origin by angle 180° clock wise
∴ Its image is (-x , -y)
- If point (x , y) rotated about the origin by angle 270° clock wise
∴ Its image is (-y , x)
* There is no difference between rotating 180° clockwise or
anti-clockwise around the origin
* Lets solve the problem
∵ The point (-3 , -2) is rotated 180° about the orange
∵ The image of the point (x , y) when rotated about the origin by
angle 180° is (-x , -y)
∵ x = -3 , then -x = -(-3) = 3
∵ y = -2 , then -y = -(-2) = 2
∴ The coordinates of the image are (3 , 2)
