Question

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

Answer 1

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

Answer 2

Answer:

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

Step-by-step 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).