Question

If point Q(3,-4) is rotated +270° about the origin, what are the coordinates of Q?

Answer 1

`Q' =(-4,-3)`

Explanation:

Given

`Q = (3,-4)`

Rotation = +270 degrees

Required

Determine the new coordinates of Q (i.e. Q')

When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)

So:

`Q = (3,-4)`

Where:

`x = 3` and
`y = -4`

Q' will be:

`Q' =(-4,-3)`