Question

the table shows the coordinates of the vertices of
△jkl | △jkl
j(-3,0) | j(-3,-4)
k(0,4) | k(0,0)
l(2,3) | l(2,-1)
which translation maps △jkl onto its image?
4 units down
4 units up
4 units to the right
4 units to the left

Explanation:

Step1: Analyze J to J'

Original J: \((-3, 0)\), New J': \((-3, -4)\). The x - coordinate stays the same (\(-3\)), y - coordinate changes from \(0\) to \(-4\). The change in y - coordinate is \(0-4=-4\), which means moving 4 units down.

Step2: Analyze K to K'

Original K: \((0, 4)\), New K': \((0, 0)\). x - coordinate is same (\(0\)), y - coordinate changes from \(4\) to \(0\). The change in y - coordinate is \(4 - 0=4\) (but since we go from \(4\) to \(0\), it's a move of \(4\) units down as \(4-4 = 0\)).

Step3: Analyze L to L'

Original L: \((2, 3)\), New L': \((2, -1)\). x - coordinate is same (\(2\)), y - coordinate changes from \(3\) to \(-1\). The change in y - coordinate is \(3-4=-1\), which is a move of \(4\) units down.

Answer:

4 units down