Question

Pentagon ABCDE is shown on the coordinate plane below:

Answer 1

It's (5,2) , I took it already so here you go

Answer 2

Answer:  The correct option is (B) (5, 2).

Step-by-step explanation:  Given that the co-ordinates of the vertices of pentagon ABCDE are A(-2, 4), B(-6, 2), C(-5, -2), D(1, -2) and E(2, 2).

We are to find the co-ordinates of the point C', if the pentagon ABCDE is  rotated 180° around the origin to create pentagon A'B'C'D'E'.

We know that a rotation of 180° changes the co-ordinates of a point (x, y) according to the following rule:

(x, y)  ⇒  (-x, -y).

Therefore, the vertices of pentagon ABCD will transform to the vertices of pentagon A'B'C'D'E' as follows:

A(-2, 4)  ⇒ A'(2, -4),

B(-6, 2)   ⇒ B'(6, -2),

C(-5, -2)  ⇒  C'(5, 2),

D(1, -2)    ⇒  D'(-1, 2),

E(2, 2)    ⇒   E'(-2, -2).

Thus, the co-ordinates of the point C' are (5, 2).

Option (B) is correct.