Question

graph the image of kite rstu after a translation 11 units down.

Explanation:

Step1: Find the coordinates of each vertex

From the graph, we can see that the coordinates of the vertices are \(R(-1,1)\), \(S(7,5)\), \(T(-1,9)\), \(U(-3,5)\).

Step2: Apply the translation rule

The translation rule for moving a point \(11\) units down is \((x,y)\to(x,y - 11)\).
For point \(R(-1,1)\): \((-1,1-11)=(-1,-10)\)
For point \(S(7,5)\): \((7,5 - 11)=(7,-6)\)
For point \(T(-1,9)\): \((-1,9-11)=(-1,-2)\)
For point \(U(-3,5)\): \((-3,5 - 11)=(-3,-6)\)

Step3: Plot the new points

Plot the points \(R'(-1,-10)\), \(S'(7,-6)\), \(T'(-1,-2)\), \(U'(-3,-6)\) on the coordinate plane and connect them to form the translated kite.

Answer:

Plot the points \((-1,-10)\), \((7,-6)\), \((-1,-2)\), \((-3,-6)\) and connect them.