Question

write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.

Explanation:

Step1: Identify original coordinates

$Q(7,6)$, $T(6,9)$, $S(7,10)$, $R(8,9)$

Step2: Apply 90° counterclockwise rule

For a point $(x,y)$, new point is $(-y,x)$

Step3: Calculate $Q'$

$Q' = (-6, 7)$

Step4: Calculate $T'$

$T' = (-9, 6)$

Step5: Calculate $S'$

$S' = (-10, 7)$

Step6: Calculate $R'$

$R' = (-9, 8)$

Answer:

$Q'(-6, 7)$, $T'(-9, 6)$, $S'(-10, 7)$, $R'(-9, 8)$