Question

the table shows the coordinates of the vertices of \\( \triangle jkl \\) and its image. \
\
which translation maps \\( \triangle jkl \\) onto its image? \
4 units down \
4 units up \
4 units to the right \
4 units to the left

Explanation:

Step1: Analyze the change in \(y\) - coordinates

For point \(J\): \(y\) - coordinate changes from \(0\) to \(- 4\), \(0-(-4)= - 4\) (using \(y_{new}-y_{old}\)).
For point \(K\): \(y\) - coordinate changes from \(4\) to \(0\), \(0 - 4=-4\).
For point \(L\): \(y\) - coordinate changes from \(3\) to \(-1\), \(-1 - 3=-4\).

Step2: Determine the translation rule

In a translation \((x,y)\to(x,y + k)\), when \(k=-4\), the translation is \(4\) units down.

Answer:

4 units down