Question

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?

Answer 1

Answer:

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:

$(x, y) \rightarrow (-x , -y)$

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;

$a(h, k) \rightarrow a'(-h , -k)$

so, it takes the new position i.e, $a'(-h , -k)$

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