Question

q(-6,-3),r(-5,0),s(-3,0),t(-1,-3); 270° clockwise

Explanation:

Step1: Recall rotation rule for 270° clockwise

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

Step2: Apply rule to point Q

For $Q(-6,-3)$, substituting $x=-6$ and $y = - 3$ into the rule, we get $(-3,6)$.

Step3: Apply rule to point R

For $R(-5,0)$, substituting $x=-5$ and $y = 0$ into the rule, we get $(0,5)$.

Step4: Apply rule to point S

For $S(-3,0)$, substituting $x=-3$ and $y = 0$ into the rule, we get $(0,3)$.

Step5: Apply rule to point T

For $T(-1,-3)$, substituting $x=-1$ and $y=-3$ into the rule, we get $(-3,1)$.

Answer:

The new points are $Q'(-3,6),R'(0,5),S'(0,3),T'(-3,1)$