Question

Point B is located at (-2, 5) and will be rotated 90 degrees clockwise. Where will Point B' be located?

A. (-5, -2)
B. (2, -5)
C. (5, 2)
D. (-2, 5)

Answer 1

To find the location of Point B' after rotating Point B 90 degrees clockwise, we use the rotation formula for a point in the Cartesian plane. The coordinates (-2, 5) rotate to (-5, -2).

Step-by-step explanation:

To find the location of Point B' after rotating Point B 90 degrees clockwise, we can use the rotation formula for a point in the Cartesian plane. The formula is:

x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)

In this case, the coordinates of Point B are (-2, 5) and we want to rotate it 90 degrees clockwise. Plugging these values into the formula:

x' = (-2) * cos(90) - 5 * sin(90)
y' = (-2) * sin(90) + 5 * cos(90)

Simplifying the equation gives us:
x' = (-2) * 0 - 5 * 1 = -5
y' = (-2) * 1 + 5 * 0 = -2

Therefore, Point B' will be located at (-5, -2). So the correct answer is A. (-5, -2).