Given point A (2,4) on the triangle in Quadrant l how would you describe the coordinates of the new point when the triangle is rotated 90 degrees clockwise

Answer 1

To find the new coordinates of a point after rotating it 90 degrees clockwise, we can use the following formula:

(x', y') = (ycosθ + xsinθ, ysinθ - xcosθ)

In this case, since we are rotating the triangle 90 degrees clockwise, θ (theta) will be equal to -90 degrees. Let's substitute the given coordinates of point A (2, 4) into the formula and calculate the new coordinates:

(x', y') = (4cos(-90) + 2sin(-90), 4sin(-90) - 2cos(-90))
(x', y') = (4 * 0 + 2 * (-1), 4 * (-1) - 2 * 0)
(x', y') = (0 - 2, -4 - 0)
(x', y') = (-2, -4)

Therefore, after rotating the triangle 90 degrees clockwise, the new coordinates of point A (2, 4) would be (-2, -4).

Answer 2

No, those answers are going counterclockwise. You are supposed to go clockwise. so (2,4) clockwise 90 degrees is
(4, -2) Remember to check whether its clockwise or counter clockwise guys.