Question

graph the image of \\( \triangle k l m \\) after a translation 10 units down.

Explanation:

Step1: Find the coordinates of the original points

From the graph, we can see that the coordinates of point \(M\) are \((-2,2)\), the coordinates of point \(K\) are \((4,3)\), and the coordinates of point \(L\) are \((3,8)\).

Step2: Apply the translation rule

The translation rule for moving a point \(10\) units down is \((x,y)\to(x,y - 10)\).
For point \(M(-2,2)\):
\(y=2\), after translation \(y'=2 - 10=-8\), so the new coordinates of \(M'\) are \((-2,-8)\)
For point \(K(4,3)\):
\(y = 3\), after translation \(y'=3 - 10=-7\), so the new coordinates of \(K'\) are \((4,-7)\)
For point \(L(3,8)\):
\(y=8\), after translation \(y'=8 - 10=-2\), so the new coordinates of \(L'\) are \((3,-2)\)

Step3: Plot the new points and connect them

Plot the points \(M'(-2,-8)\), \(K'(4,-7)\) and \(L'(3,-2)\) on the coordinate plane and connect them to form \(\triangle K'L'M'\)

Answer:

Plot the points \(M'(-2,-8)\), \(K'(4,-7)\) and \(L'(3,-2)\) and connect them.