Question

the coordinates of the vertices of a quadrilateral are j(1,2), k(1, - 1), l(-2, - 1), and m(-2,1). quadrilateral jklm is translated 5 units to the left and 4 units up to create quadrilateral jklm. what are the coordinates of the vertices of quadrilateral jklm? j = k =

Explanation:

Step1: Recall translation rule

For a translation 5 units left and 4 units up, we subtract 5 from the x - coordinate and add 4 to the y - coordinate of each point.

Step2: Find coordinates of J'

For point J(1, 2), new x - coordinate is \(1 - 5=-4\), new y - coordinate is \(2 + 4 = 6\). So \(J'=(-4,6)\).

Step3: Find coordinates of K'

For point K(1, - 1), new x - coordinate is \(1-5=-4\), new y - coordinate is \(-1 + 4=3\). So \(K'=(-4,3)\).

Step4: Find coordinates of L'

For point L(-2, - 1), new x - coordinate is \(-2-5=-7\), new y - coordinate is \(-1 + 4 = 3\). So \(L'=(-7,3)\).

Step5: Find coordinates of M'

For point M(-2, 1), new x - coordinate is \(-2-5=-7\), new y - coordinate is \(1 + 4=5\). So \(M'=(-7,5)\).

Answer:

\(J'=(-4,6)\)
\(K'=(-4,3)\)
\(L'=(-7,3)\)
\(M'=(-7,5)\)