Question

What is the image of the point (4,-2) after a rotation 270 degree clockwise about the origin?

Answer 1

The image of the point (4, -2) is (2, 4).

Explanation:

Since, the rule of rotation 270 degree clockwise about the origin is,

`(x,y)\rightarrow (-y,x)`

Where, (-y,x) is the image of the point (x,y),

Thus, by the above rule,

`(4,-2)\rightarrow (-(-2), 4)`

Hence, the image of the point (4, -2) is (2, 4).

Answer 2

The equivalent 90° CCW rotation maps (x, y) to (-y, x).
(4, -2) becomes (2, 4) after rotation.