Answer:
A ( -d , e )
B ( - d , -e )
C ( d , - e )
Explanation:
The centroid of the circle is on the origin.
This means that coordinates are an equal distance away from each other
Ex. Coordinate A and coordinate B are an equal distance away.
The only difference between the coordinates is the signs of the x and y values
This is determined by what quadrant the specific coordinate is in
Ex. Coordinate A is in Quadrant 2.
Coordinates in Quadrant 2 have a negative x value and a positive x value
Because Coordinate A and the given coordinates ( d , e ) have an equal distance between them all we have to do to find the missing coordinate is add a negative sign in front of the x value (d)
That being said, the coordinate of A is (-d,e).
This process is used to find the rest of the missing coordinates
for B
B lies in Quadrant 3
Quadrant 3 = ( -x , -y )
* add negative signs to the x and y value of the given coordinate *
B = ( -d , - e)
For C
C lies in Quadrant 4
Quadrant 4 = ( x , - y )
* add a negative sign to the y value of the given coordinate *
C = ( d, -e)