Question

if pentagon ABCDE is rotated 180 degrees around the origin to create pentagon A’B’C’D’E, what is the ordered pair of point C?

Answer 1

How the question has been worded makes me think the answer is (2,5)

Answer 2

Answer:

C'( 5 , 2 ) .

Step-by-step explanation:

Given  : if pentagon ABCDE is rotated 180 degrees around the origin to create pentagon A’B’C’D’E,

To find :  what is the ordered pair of point C.

Solution : We have given that

ABCDE is rotated 180 degrees around the origin.

Coordinates of C  ( -5 , -2)

By the rotation rule of 180° (x ,y) →→ ( -x , -y) .

Then Coordinates of C  ( -5 , -2) →→ C'( 5 , 2 ) .

Therefore,  C'( 5 , 2 ) .