Question

what are the coordinates of point c if c(0, 7) is rotated 180° clockwise around the origin. (1 point) c = \square

Explanation:

Step1: Recall 180° rotation rule

For a point \((x, y)\) rotated \(180^\circ\) (clockwise or counter - clockwise, since \(180^\circ\) rotation is the same in both directions) around the origin, the new coordinates \((x', y')\) are given by the rule \(x'=-x\) and \(y' = - y\).

Step2: Apply the rule to point \(C(0,7)\)

Given the point \(C(0,7)\), where \(x = 0\) and \(y=7\).
Using the rotation rule:
\(x'=-x=- 0 = 0\)
\(y'=-y=-7\)

Answer:

\((0, - 7)\)