Question

The point Q(−5,−9)
is rotated −270°
about the origin. Select the location of Q′
. (1 point)
Responses

Q′(9,−5)
upper Q prime left parenthesis 9 comma negative 5 right parenthesis

Q′(5,9)
upper Q prime left parenthesis 5 comma 9 right parenthesis

Q′(−5,9)
upper Q prime left parenthesis negative 5 comma 9 right parenthesis

Q′(9,5)
upper Q prime left parenthesis 9 comma 5 right parenthesis

Answer 1

To determine the coordinates of the point Q′ after rotating point Q(−5,−9) by −270° (which is equivalent to a +90° rotation), we can use the rotation formula.

A point (x, y) rotated by +90° about the origin is given by the transformation:
- New x = -y
- New y = x

For point Q(−5,−9):
- New x = -(-9) = 9
- New y = -5

Thus the coordinates of Q′ after the rotation are (9, -5).

The correct response is:
**Q′(9,−5)**