Question

Given point A(2, 6) on the triangle, where would the new point on the triangle be after a rotation of 90 degrees clockwise? (1 point)

Answer 1

To find the new point on the triangle after a rotation of 90 degrees clockwise, we can use the rotation matrix.

The rotation matrix for a 90 degree clockwise rotation is:

[ 0 1 ]
[ -1 0 ]

Applying this rotation matrix to the given point A(2, 6):

[ 0 1 ] [ 2 ] [ -6 ] --> [ -6 ]
[ -1 0 ] [ 6 ] [ 2 ] --> [ 2 ]

Therefore, after a rotation of 90 degrees clockwise, the new point on the triangle would be (-6, 2).