Question

graph the image of square stuv after a reflection over the x - axis.

Explanation:

Step1: Find the coordinates of original points

The coordinates of \(S(2,-8)\), \(T(4,-8)\), \(U(4,-6)\), \(V(2,-6)\)

Step2: Apply the reflection rule over the \(x\) - axis

The rule for reflection over the \(x\) - axis is \((x,y)\to(x, - y)\)
For point \(S(2,-8)\): \((2,-8)\to(2,8)\)
For point \(T(4,-8)\): \((4,-8)\to(4,8)\)
For point \(U(4,-6)\): \((4,-6)\to(4,6)\)
For point \(V(2,-6)\): \((2,-6)\to(2,6)\)

Step3: Plot the new points

Plot the points \((2,8)\), \((4,8)\), \((4,6)\), \((2,6)\) on the coordinate plane and connect them to form the reflected square.

Answer:

Plot the points \(S'(2,8)\), \(T'(4,8)\), \(U'(4,6)\), \(V'(2,6)\) and connect them.