Question

Given the point R(10,-6), find the image after being rotated 90 degrees 10 points CCW (Counter Clockwise).

A) R'(6,-10)
B) R'(6, 10)
C) R'(10,-6)
D) R'(-10,6)

Answer 1

The image of point R(10,-6) after being rotated 90 degrees 10 points CCW is R'(6, -10).

Step-by-step explanation:

To find the image of point R(10,-6) after being rotated 90 degrees 10 points counter clockwise (CCW), we can use the rotation formula.

Given point R(x, y), the rotated point R'(x', y') can be found using the following formulas:

x' = x * cos(angle) - y * sin(angle)

y' = x * sin(angle) + y * cos(angle)

In this case, the angle is 90 degrees, or pi/2 radians. Plugging in the values, we get:

x' = 10 * cos(pi/2) - (-6) * sin(pi/2) = 6

y' = 10 * sin(pi/2) + (-6) * cos(pi/2) = -10

Therefore, the image of point R(10,-6) after being rotated 90 degrees 10 points CCW is R'(6, -10).