Question

graph the image of parallelogram j k l m after a reflection over the line y = -x.

Explanation:

Step1: Find coordinates of original points

Assume coordinates of \(J(-9,-10)\), \(K(-6,-10)\), \(L(1,-8)\), \(M(-1,-8)\) (by observing the graph).

Step2: Apply reflection formula

The rule for reflection over the line \(y = -x\) is \((x,y)\to(-y,-x)\).
For point \(J(-9,-10)\):
\((-9,-10)\to(10,9)\)
For point \(K(-6,-10)\):
\((-6,-10)\to(10,6)\)
For point \(L(1,-8)\):
\((1,-8)\to(8,-1)\)
For point \(M(-1,-8)\):
\((-1,-8)\to(8,1)\)

Step3: Plot the new points

Plot the points \((10,9)\), \((10,6)\), \((8,-1)\), \((8,1)\) and connect them to form the reflected parallelogram.

Answer:

Plot the points \((10,9)\), \((10,6)\), \((8,-1)\), \((8,1)\) and connect them.