Question

quadrilateral pqrs is rotated 90° clockwise about the origin to form quadrilateral pqrs. what is the y-coordinate of point p? type the answer in the box.

Explanation:

Step1: Recall the rotation rule

When a point \((x,y)\) is rotated \(90^{\circ}\) clockwise about the origin, the new coordinates \((x',y')\) are given by the rule \((x,y)\to(y,-x)\).

Step2: Identify the coordinates of point \(P\)

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

Step3: Apply the rotation rule

Using the rule \((x,y)\to(y,-x)\) with \(x = - 1\) and \(y = 2\), we get \(x'=2\) and \(y' = 1\).

Answer:

\(1\)