Question

graph the image of $\triangle klm$ after a translation 15 units down.

Explanation:

Step1: Find the coordinates of original points

Assume \( K(2,8) \), \( L(6,8) \), \( M(8,7) \).

Step2: Apply the translation rule

The translation rule for moving 15 units down is \((x,y)\to(x,y - 15)\).
For point \( K \): \( (2,8)\to(2,8 - 15)=(2,-7) \).
For point \( L \): \( (6,8)\to(6,8 - 15)=(6,-7) \).
For point \( M \): \( (8,7)\to(8,7 - 15)=(8,-8) \).

Step3: Plot the new points and connect them

Plot \( K'(2,-7) \), \( L'(6,-7) \), \( M'(8,-8) \) on the coordinate - plane and connect them to form \(\triangle K'L'M'\).

Answer:

Plot the points \( (2,-7) \), \( (6,-7) \), \( (8,-8) \) and connect them to get the image of \(\triangle KLM\) after the translation.