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1. rotate jlz 90° counterclockwise

graph the image and give the ordered pairs for jlz
j ( )
l ( )
z ( )

Explanation:

Step1: Find the coordinates of \(J\), \(L\), \(Z\)

Assume \(J(-4,-2)\), \(L(4,-1)\), \(Z(-2,0)\)

Step2: Apply the rotation rule for \(90^{\circ}\) counter - clockwise

The rule for rotating a point \((x,y)\) \(90^{\circ}\) counter - clockwise about the origin is \((x,y)\to(-y,x)\)
For point \(J(-4,-2)\):
Substitute \(x = - 4\) and \(y=-2\) into the rule \((x,y)\to(-y,x)\)
\(J(-4,-2)\to J'(2,-4)\)
For point \(L(4,-1)\):
Substitute \(x = 4\) and \(y = - 1\) into the rule \((x,y)\to(-y,x)\)
\(L(4,-1)\to L'(1,4)\)
For point \(Z(-2,0)\):
Substitute \(x=-2\) and \(y = 0\) into the rule \((x,y)\to(-y,x)\)
\(Z(-2,0)\to Z'(0,-2)\)

Answer:

\(J'(2,-4)\), \(L'(1,4)\), \(Z'(0,-2)\)