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)

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bossmikejw bossmikejw · Answer 1 · 2017-11-20T17:00:45+01:00

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

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ColinJacobus ColinJacobus · Answer 2 · 2019-04-13T17:42:40+02:00

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.