Question

for item 3, use the information to answer the question. 3. rectangle pqrs has vertices at p(-1, 6), q(4, 6), r(4, -2), and s(-1, -2). if pqrs is rotated 270° counterclockwise about the origin to create pqrs, what are the coordinates of the image?

Explanation:

Step1: Recall rotation rule

The rule for a 270 - counter - clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Find coordinates of $P'$

For $P(-1,6)$, using the rule $(x,y)\to(y, - x)$, we get $P'(6,1)$.

Step3: Find coordinates of $Q'$

For $Q(4,6)$, using the rule $(x,y)\to(y, - x)$, we get $Q'(6, - 4)$.

Step4: Find coordinates of $R'$

For $R(4, - 2)$, using the rule $(x,y)\to(y, - x)$, we get $R'(-2, - 4)$.

Step5: Find coordinates of $S'$

For $S(-1, - 2)$, using the rule $(x,y)\to(y, - x)$, we get $S'(-2,1)$.

Answer:

$P'(6,1), Q'(6, - 4), R'(-2, - 4), S'(-2,1)$