Question

Given A'B'C' and ABC.

Answer 1

Because the transformation is a rotation of 180 ° about the origin, the resulting image is a reflection of the original image. Since the rotation is 180 degrees there is a movement of 2 quadrants for the coordinates of A, B,and C.  There for this means that if point A's coordinate is in the quadrant of (x,y) then the coordinates point of A' would be in the quadrant where (-x,-y) coordinates are present.

Answer 2

Since the transformation occurring is rotation at 180 degrees about the origin, then the resulting image would be a reflection of the original image. Additionally, since the rotation is 180 degrees, then there is a movement of 2 quadrants for the corners A, B and C.

Therefore this would also mean that if point A is in coordinate (x, y) then point A’ would be in coordinate (-x, -y). Similar is true with point B and point C and their corresponding reflection corners point B’ and point C’. So for example if point A is located at (-5, 3) then point A’ must be at (5, -3).