Question

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

Explanation:

Step1: Recall the reflection rule

When reflecting a point \((x,y)\) over the \(x -\)axis, the rule is \((x,y)\to(x, - y)\).

Step2: Find the coordinates of the original rectangle

Assume the coordinates of the rectangle \(STUV\) are \(S(- 7,-9)\), \(T(-1,-9)\), \(U(1,-2)\), \(V(-4,-2)\)

Step3: Apply the reflection rule

For point \(S(-7,-9)\): After reflection over the \(x -\)axis, \(S'(-7,9)\)
For point \(T(-1,-9)\): After reflection over the \(x -\)axis, \(T'(-1,9)\)
For point \(U(1,-2)\): After reflection over the \(x -\)axis, \(U'(1,2)\)
For point \(V(-4,-2)\): After reflection over the \(x -\)axis, \(V'(-4,2)\)

Step4: Plot the new points

Plot the points \(S'(-7,9)\), \(T'(-1,9)\), \(U'(1,2)\), \(V'(-4,2)\) on the coordinate - plane and connect them to form the reflected rectangle.

Answer:

Plot the points \(S'(-7,9)\), \(T'(-1,9)\), \(U'(1,2)\), \(V'(-4,2)\) and connect them.