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.

47 - 90 = 43

43 - 180 = x

x = 137