Question

rotate \\( \triangle s t u \\) \\( 90^{circ} \\) clockwise around the origin.

Explanation:

Step1: Find the coordinates of the original points

Assume each grid is 5 units. Point \(S(-5, -10)\), point \(T(0, -15)\), point \(U(-10, -15)\)

Step2: Apply the 90° clockwise rotation formula

The formula for a 90° clockwise rotation around the origin \((x,y)\to(y, -x)\)

• For point \(S(-5,-10)\): \(x=-5,y = - 10\), after rotation \((-10,5)\)
• For point \(T(0,-15)\): \(x = 0,y=-15\), after rotation \((-15,0)\)
• For point \(U(-10,-15)\): \(x=-10,y=-15\), after rotation \((-15,10)\)

Answer:

Plot the new points \(S'(-10,5)\), \(T'(-15,0)\), \(U'(-15,10)\) and connect them to form the rotated triangle.