rotate △stu 90° clockwise around the origin.

Explanation:

Step1: Determine the coordinates of the original points

Assume each grid is (5) units.

• Point (S): ((-5,5))
• Point (T): ((-5,-10))
• Point (U): ((-15,-10))

Step2: Apply the (90^{\circ}) clockwise rotation formula ((x,y)\to(y, -x))

• For (S(-5,5)): (x=-5,y = 5). After rotation ((x',y')=(5,5))
• For (T(-5,-10)): (x=-5,y=-10). After rotation ((x',y')=(-10,5))
• For (U(-15,-10)): (x=-15,y=-10). After rotation ((x',y')=(-10,15))

Answer:

The new coordinates of the triangle vertices after (90^{\circ}) clockwise rotation around the origin are (S'(5,5)), (T'(-10,5)), (U'(-10,15))