Question

An image point after a 180 rotation is (3,7). What were the coordinates of the pre-image point?(A)Z(-3,-7) (B)Z(7,3) (C)Z(-7,-3) (D)Z(7,-3)

Answer 1

(A)Z(-3,-7)

Step-by-step explanation:

The rotation of a point (x,y) by 180 degrees gives the point (-x,-y).

That is:

`\text{Rotation by }180^0=(x,y)\rightarrow(-x,-y)`

If the image point after rotation is (3,7), the coordinates of the pre-image will be:

`(x,y)=Z(-3,-7)`

The correct option is A.