How can you tell by looking at the coordinates of the two triangles that δ a'b'c' is a 180° rotation of δ abc? a. the coordinates cannot prove a 180° rotation. b. the y-coordinates of the points on δa'b'c' have opposite signs from the corresponding points on δabc. c. the x-coordinates of the points on δa'b'c' have opposite signs from the corresponding points on δabc. eliminate d. both the x and y coordinates of the points on δa'b'c' have opposite signs from the corresponding points on δabc?

Option d is correct.

Both the x and y coordinates of the point on δa'b'c' have opposite signs from the corresponding points on δabc.

Step-by-step explanation:

The rule of 180 degree rotation about the origin is:

Since a Rotation of a point through 180°, about the origin when a point a(h, k)  is rotated about the origin through 180° in anticlockwise or clockwise direction.

then, By the rule of 180 degree rotation;

so, it takes the new position i.e,

Therefore, both the x and y coordinates of the point on δa'b'c' have opposite signs from the corresponding points on δabc.

incomplete question. how do you expect anyone to you when you do not post the question in its entirety?