Question

graph the image of square tuvw after a rotation 180° clockwise around the origin.

Explanation:

Step1: Find the coordinates of the original square

Assume \( T(5,-2)\), \(U(6,-2)\), \(V(6,-1)\), \(W(5,-1)\)

Step2: Apply the rotation rule

The rule for a \(180^{\circ}\) clockwise rotation around the origin is \((x,y)\to(-x,-y)\)
For point \(T(5,-2)\): \((5,-2)\to(-5,2)\)
For point \(U(6,-2)\): \((6,-2)\to(-6,2)\)
For point \(V(6,-1)\): \((6,-1)\to(-6,1)\)
For point \(W(5,-1)\): \((5,-1)\to(-5,1)\)

Step3: Plot the new points

Plot the points \((-5,2)\), \((-6,2)\), \((-6,1)\), \((-5,1)\) and connect them to form the rotated square.

Answer:

Plot the points \((-5,2)\), \((-6,2)\), \((-6,1)\), \((-5,1)\) and connect them.