Question

write the coordinates of the vertices after a rotation 270 counterclockwise from the origin if before it is q=-8,10 p=-8,3 r=-4,2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To rotate a point 270 degrees counterclockwise from the origin, we can use the following rotation matrix:

[ 0 -1 ]
[ 1 0 ]

Next, we apply this matrix on each of the given points (q, p, r) to find their new coordinates after rotation.

For point q(-8, 10):
q' = (0 * -8 + (-1) * 10, 1 * -8 + 0 * 10)
q' = (-10, -8)

For point p(-8, 3):
p' = (0 * -8 + (-1) * 3, 1 * -8 + 0 * 3)
p' = (-3, -8)

For point r(-4, 2):
r' = (0 * -4 + (-1) * 2, 1 * -4 + 0 * 2)
r' = (-2, -4)

Therefore, after rotating 270 degrees counterclockwise from the origin, the coordinates of the vertices become:
q' = (-10, -8)
p' = (-3, -8)
r' = (-2, -4)