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
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.
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).
To find the coordinates of a point after rotating a triangle 90 degrees clockwise, you can use the following steps:
1. Identify the coordinates of the original point (A). In this case, point A is given as (2,4).
2. To rotate a point 90 degrees clockwise, you switch the x and y coordinates and negate the new x-coordinate.
- The new x-coordinate of the rotated point is the negation of the original y-coordinate.
- The new y-coordinate of the rotated point is the original x-coordinate.
3. Apply the rotation formula to get the coordinates of the new point.
- The x-coordinate of the rotated point is -(original y-coordinate) = -(4) = -4
- The y-coordinate of the rotated point is the original x-coordinate = 2.
By applying the rotation formula to point A (2,4), the new coordinates after rotating the triangle 90 degrees clockwise would be (-4, 2).