Question

Pentagons ABCDE is shown on the coordinate plane below

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)

PLEASE HELP

Answer 1

I beleive it would be 5,2 but I'm not too sure

Answer 2

Answer: (5,2)

Step-by-step explanation:

We know that the rule for rotation of 180° is given by :-

$(x,y)\rightarrow(-x,-y)$

From the given figure , it can be seen that the coordinates of point C is (-5, -2).

If pentagon ABCDE is rotated 180° around the origin to create pentagon A’B’C’D’E’,then the ordered pair of point C’ is given by :-

$(-5,-2)\rightarrow(5,2)$

Hence, the ordered pair of point C’ =(5,2)