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 rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Identify coordinates of P

Assume the coordinates of point $P$ are $(x_{P},y_{P})$. From the graph, if we assume $P=(1,2)$ (by observing the position on the grid).

Step3: Apply rotation rule

Using the rule $(x,y)\to(y, - x)$, for point $P=(1,2)$, the new - point $P'$ has coordinates $(2,-1)$.

Answer:

-1