If pentagon abcde is rotated 180° around the origin to create pentagon a'b'c'd'e', what is the ordered pair of point a'? a. (2, −4) b. (−4, −2) c. (−2, −4) d. (4, 2)

For the given graph, the coordinate of the point A is (-2,4).

Problem is about rotation of the image 180° around the origin.

We know, when we roate 180° around the origin, the image change the quadrant and goes exactly opposite of it's quadrant by an angle 180.

1st quadrant coordinate goes in 3rd quadrant and 2nd quadrant coordinate goes in 4th quadrant and vice verse.

But in order to inderstand it better we can apply a simple rule.

If we have given coordinates of the image are in form (h,k).

The resulting coordinates of image rotation of 180° around the origin would be (-h,-k).

So, if we apply same rule, the coordinates of A(-2,4) would become (-(-2),-4) or (2,-4).

Therefore, correct option would be option A. (2,-4).

a

step-by-step explanation: