Question

Point K is located at (7,4) in the coordinate plane. Its image is created by the following rule:

K'=Ro 270°^(k)



What are the coordinates of k'?

A. (4,-7)
B. (4, 7)
C. (7, -4)
D. (-7, 4)

Answer 1

We are given coordinate of K point (7,4).

We need to find the new coordinate of K' point.

Given rule is K' = Ro 270°^(k).

That represents rotation of k 270 degree about the origin.

The rule for rotation of 270 degree about the origin is as following:

(x, y) --------> (y, -x).

Now, applying same rule on point (7,4).

(7,4) -----------> (4,-7).

Therefore, the coordinates of k' is (4,-7).

Correct option is A. (4,-7).