Question

(I'll award brainliest! Please answer before 5:45 P.M!)

Point N(7, 4) is rotated 180° counterclockwise about the origin.

What are the coordinates of its image after this transformation?

Answer 1

The coordinates of the point N after the transformation is (-7,-4)

Explanation:

Given that the coordinates of the point N is (7,4)

The point is rotated 180° counterclockwise about the origin.

We need to determine the coordinates of the point N after the rotation 180° counterclockwise about the origin.

Coordinates of the image:

The transformation rule to rotate the point 180° counterclockwise about the origin is given by

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

Substituting the point (7,4), we get,

$(7,4)\implies(-7,-4)$

Thus, the coordinates of the point N after the transformation is (-7,-4)