Question

rectangle abcd has been rotated 180 degrees about the origin to form rectangle abcd. what are the coordinates of point d? (-3,2) (-3,5) (-1,2) (-1,5)

Explanation:

Step1: Determine the original coordinates of point D

From the graph, the coordinates of point D are \((1, - 2)\).

Step2: Apply the rotation rule for 180 - degree rotation about the origin

The rule for a 180 - degree rotation about the origin is \((x,y)\to(-x,-y)\).
For the point \((1,-2)\), when we apply the rule:
\(x = 1\) and \(y=-2\), then \(-x=-1\) and \(-y = 2\)

Answer:

\((-1,2)\) (the third option)