Question

graph the image of \\( \triangle klm \\) after a translation 15 units down.
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Explanation:

Step1: Find the coordinates of the original triangle

Assume the coordinates of \( K\), \( L\), \( M\) are \( (x_1,y_1)\), \( (x_2,y_2)\), \( (x_3,y_3)\). For example, if \( K=(1,8)\), \( L=(4,9)\), \( M=(8,8)\) (estimated from the graph).

Step2: Apply the translation rule

The translation rule for moving a point \( (x,y)\) \( 15\) units down is \( (x,y - 15)\).
For point \( K=(1,8)\), after translation \( K'=(1,8 - 15)=(1,-7)\).
For point \( L=(4,9)\), after translation \( L'=(4,9 - 15)=(4,-6)\).
For point \( M=(8,8)\), after translation \( M'=(8,8 - 15)=(8,-7)\).

Step3: Plot the new points

Plot the points \( K'\), \( L'\), \( M'\) on the coordinate - plane and connect them to form the translated triangle \( \triangle K'L'M'\).

Answer:

Plot the points obtained by subtracting \( 15\) from the \( y\) - coordinates of the original triangle's vertices and connect them.