Question

translate the triangle 4 units right and 3 units down. what are the coordinates of the image? the coordinates are j ( ), k ( ), and l ( ).

Explanation:

Step1: Identify original coordinates

Assume original coordinates of \(J(-1,3)\), \(K(0,1)\), \(L(-4,1)\).

Step2: Apply translation rule for x - coordinate

For a translation 4 units right, add 4 to the x - coordinate of each point.
For \(J\): \(-1 + 4=3\), for \(K\): \(0 + 4 = 4\), for \(L\): \(-4+4 = 0\).

Step3: Apply translation rule for y - coordinate

For a translation 3 units down, subtract 3 from the y - coordinate of each point.
For \(J\): \(3-3 = 0\), for \(K\): \(1 - 3=-2\), for \(L\): \(1-3=-2\).

Answer:

\(J'(3,0)\), \(K'(4,-2)\), \(L'(0,-2)\)