Question

write the coordinates of the vertices after a translation 2 units left.

Explanation:

Step1: Recall translation rule

For a translation 2 units left, subtract 2 from the x - coordinate of each point while keeping the y - coordinate the same.

Step2: Identify original coordinates

Assume the original coordinates of \(K\) are \((- 4,-5)\), of \(L\) are \((3,-5)\) and of \(M\) are \((-2,2)\).

Step3: Calculate new coordinates

For point \(K\): New x - coordinate is \(-4 - 2=-6\), y - coordinate remains \(-5\), so \(K'(-6,-5)\).
For point \(L\): New x - coordinate is \(3 - 2 = 1\), y - coordinate remains \(-5\), so \(L'(1,-5)\).
For point \(M\): New x - coordinate is \(-2-2=-4\), y - coordinate remains \(2\), so \(M'(-4,2)\).

Answer:

\(K'(-6,-5)\), \(L'(1,-5)\), \(M'(-4,2)\)