Question

Given point A (2, 4) on the triangle Quadrant I, where is the new point if the triangle is rotated 270 degrees counterclockwise?

Answer 1

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

[ 0 -1 ]
[ 1 0 ]

Multiplying this matrix by the coordinates of the point (x, y) gives us the new coordinates after rotation as (-y, x).

Applying this formula to point A (2, 4), we have:

New x-coordinate = -4
New y-coordinate = 2

Therefore, the new point after rotating 270 degrees counterclockwise is (-4, 2).