rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point?
a (-8, 5)
b (8, 5)
c (8, -5)
d (-8, -5)
To rotate a point (x, y) 270 degrees clockwise, we can use the following rotation matrix:
|x'| |cos(270) -sin(270)| |x|
|y'| = |sin(270) cos(270)| * |y|
Simplifying the matrix equations:
|x'| |0 -1| |5| |-8|
|y'| = |1 0| * |8| = |5|
Therefore, the new point after rotating (5, 8) 270 degrees clockwise is (-8, 5).
So, the correct answer is option a) (-8, 5).