Question

The point V(4, –1) is rotated 90° clockwise around the origin. What are the coordinates of its image V’? V’(1, 4) V’(–1, 4) V’(–1, –4) V’(4, 1)

Answer 1

C V'(-1,-4)

Explanation:

Finding the Coordinate for a 90° Rotation

The point V(4, –1) is rotated 90° clockwise around the origin.

What are the coordinates of its image V’?

V’(1, 4)

V’(–1, 4)

(V’(–1, –4)) this one <-------

V’(4, 1)

Answer 2

V' = (-1, -4)

Explanation:

the original point V (4, -1) is 4 units to the right and 1 unit down.

now we turn this 90° clockwise (upper right to down to upper left).

that means the right part of the x-axis turns into the bottom part of the y-axis, and the bottom part of the y-axis into the left part of the x-axis.

so, positive x turns into negative y, and the negative y turns into negative x.

therefore, (4 -1) turns into (-1, -4).