Question

if you were to rotate abcd 180° about the origin, what would the coordinates of b be?

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(180^{\circ}\) about the origin, the new coordinates \((x',y')\) are given by the rule \((x',y')=(-x,-y)\).

Step2: Identify the original coordinates of point \(B\)

From the graph, assume the coordinates of point \(B\) are \((- 1,3)\) (since the problem is about rotating a figure \(ABCD\) and we need to find \(B'\)).

Step3: Apply the rotation rule

Using the rule \((x',y') = (-x,-y)\) with \(x=-1\) and \(y = 3\). Then \(x'=-(-1)=1\) and \(y'=-3\).

Answer:

\((1,-3)\)