Question

graph the image of kite rstu after a reflection over the x - axis.

Explanation:

Step1: Find coordinates of original points

From the graph, \(R(1,6)\), \(S(6,8)\), \(T(1,10)\), \(U(0,8)\)

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

The rule for reflection over the \(x\) - axis is \((x,y)\to(x, - y)\)
For \(R(1,6)\): \((1,6)\to R'(1,-6)\)
For \(S(6,8)\): \((6,8)\to S'(6,-8)\)
For \(T(1,10)\): \((1,10)\to T'(1,-10)\)
For \(U(0,8)\): \((0,8)\to U'(0,-8)\)

Step3: Plot the new points

Plot \(R'(1,-6)\), \(S'(6,-8)\), \(T'(1,-10)\), \(U'(0,-8)\) and connect them to form the reflected kite.

Answer:

Plot the points \(R'(1,-6)\), \(S'(6,-8)\), \(T'(1,-10)\), \(U'(0,-8)\) on the coordinate plane and connect them to get the reflected kite.