Math homework question

Question

(-1,2) rotated 90 degrees.

Answer 1

(-1,2) rotated 90 degrees

depends on whether it's rotated clockwise or counterclockwise

try clockwise. plot the point on some paper, then rotate the paper 90 degrees

(-1,2) is in the 2nd quadrant. after rotating 90 degrees clockwise, it's in the 1st quadrant

(-1,2) becomes (2,1)

try counterclockwise, rotate the paper counterclockwise 90 degrees

(-1,2) becomes (-2,-1) in quadrant III.

In either case, switch the x and y coordinates

then change the sign of one of the coordinates, depending on whether it's clockwise or counterclockwise

so the answer is either (2,1) or (-2,-1) depending on clock or counter clock rotation

switch x and y coordinates, then it's either all positive or all negative coordinates