What are the coordinates of point C′ if C(4, 4) is rotated 180° clockwise around the origin.

Question

Your answer must be listed as a coordinate so use parenthesis.

C′= C'=C
′
=

Answer 1

To find the coordinates of point C' after rotating point C(4, 4) by 180° clockwise around the origin, you can use the following rule for 180° rotation:

If \( C(x, y) \) is a point, then after a 180° rotation around the origin, the new coordinates \( C'(x', y') \) can be calculated as:

\[ C'(x', y') = (-x, -y) \]

For point C(4, 4):

\[ C' = (-4, -4) \]

Thus, the coordinates of point C' are:

C' = (-4, -4)