Question

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

Answer 1

Answer:

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

Step-by-step 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:

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