Question

1 analyze parallelogram defg. if you rotate the parallelogram about the origin 180° counterclockwise, identify the vertex coordinates of image d.

Explanation:

Step1: Determine the original coordinates of point \(D\)

From the graph, the coordinates of point \(D\) are \((- 5,6)\).

Step2: Apply the rule for a \(180^{\circ}\) counter - clockwise rotation about the origin

The rule for a \(180^{\circ}\) counter - clockwise rotation about the origin \((x,y)\to(-x,-y)\).
If \(x=-5\) and \(y = 6\), then \(-x=-(-5)=5\) and \(-y=-6\).

Answer:

\((5,-6)\)