Question

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 \(S'(5,5)\), \(T'(-10,5)\), \(U'(-10,15)\)