Question

graph the image of △uvw after a translation 5 units down.

Explanation:

Step1: Identify the coordinates of vertices

Let the coordinates of \(U=(3,0)\), \(V=(2,9)\), \(W = (- 5,0)\).

Step2: Apply the translation rule

The translation 5 units down means subtract 5 from the \(y\) - coordinate of each point. For point \(U\): \(U'=(3,0 - 5)=(3,-5)\); for point \(V\): \(V'=(2,9 - 5)=(2,4)\); for point \(W\): \(W'=(-5,0 - 5)=(-5,-5)\).

Step3: Graph the new triangle

Plot the points \(U'(3,-5)\), \(V'(2,4)\), \(W'(-5,-5)\) on the coordinate - plane and connect them to form \(\triangle U'V'W'\).

Answer:

Graph the points \(U'(3,-5)\), \(V'(2,4)\), \(W'(-5,-5)\) and connect them to get the image of \(\triangle UVW\) after the translation 5 units down.