Pentagon ABCDE is shown on the coordinate plane below:
Pentagon on coordinate plane with ordered pairs at A negative 2, 4, at B negative 6, 2, at C negative 5, negative 2, at D 1, negative 2, at E 2, 2.
If pentagon ABCDE is rotated 180° around the origin to create pentagon A′B′C′D′E′, what is the ordered pair of point C′?
(−5, 2)
(5, 2)
(2, −5)
(−2, 5)
To rotate a point 180° around the origin, you simply negate both the x-coordinate and the y-coordinate of the original point.
Point C has coordinates (-5, -2). Rotating it 180° around the origin gives us the new coordinates of C': (5, 2).
Therefore, the correct answer is: (5, 2)