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 \(J(-9,-10)\), \(K(-6,-10)\), \(L(1,-9)\), \(M(-1,-8)\) (by observing the grid).

Step2: Apply reflection formula

The rule for reflection over the line \(y =-x\) is \((x,y)\to(-y,-x)\).

• For \(J(-9,-10)\): \((-9,-10)\to(10,9)\)
• For \(K(-6,-10)\): \((-6,-10)\to(10,6)\)
• For \(L(1,-9)\): \((1,-9)\to(9,-1)\)
• For \(M(-1,-8)\): \((-1,-8)\to(8,1)\)

Step3: Plot the new points

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

Answer:

Plot the points \(J'(10,9)\), \(K'(10,6)\), \(L'(9,-1)\), \(M'(8,1)\) and connect them.