Rotate the point (5, 8) on a geometric figure 180 degrees clockwise. What is the new point?
A. (8, 5)
B. (-8, -5)
C. (-5, -8)
D. (-5, 8)
To rotate a point 180 degrees clockwise, you swap the x and y coordinates of the point and negate one of them. Let's apply this to the given point (5, 8).
To find the new x-coordinate, swap the x and y coordinates:
New x-coordinate = 8
To find the new y-coordinate, negate the swapped x-coordinate:
New y-coordinate = -(5) = -5
Therefore, the new point after rotating (5, 8) 180 degrees clockwise is (-5, -8).
Among the given options, the correct answer is C. (-5, -8).
To rotate a point (x, y) 180 degrees clockwise, we can use the following formulas:
The new x-coordinate, x_new, is given by: x_new = -x
The new y-coordinate, y_new, is given by: y_new = -y
Applying these formulas to the point (5, 8), we get:
x_new = -(5) = -5
y_new = -(8) = -8
Therefore, the new point after rotating (5, 8) 180 degrees clockwise is (-5, -8).
The correct answer is C. (-5, -8).