Question

1 rotate jlz 90° counterclockwise graph the image and give the ordered pairs for jlz j {__ l { z {__

Explanation:

Step1: Recall the rotation rule

The rule for a \(90^{\circ}\) counter - clockwise rotation about the origin \((x,y)\to(-y,x)\).

Step2: Find the coordinates of \(J\), \(L\), and \(Z\)

From the graph, \(J(-5,-1)\), \(L(1,-1)\), \(Z(-3,0)\).

Step3: Apply the rotation rule to each point

For \(J(-5,-1)\):
Let \(x=-5\) and \(y = - 1\). Using the rule \((x,y)\to(-y,x)\), we get \(J'(1,-5)\).
For \(L(1,-1)\):
Let \(x = 1\) and \(y=-1\). Using the rule \((x,y)\to(-y,x)\), we get \(L'(1,1)\).
For \(Z(-3,0)\):
Let \(x=-3\) and \(y = 0\). Using the rule \((x,y)\to(-y,x)\), we get \(Z'(0,-3)\).

Answer:

\(J'(1,-5)\), \(L'(1,1)\), \(Z'(0,-3)\)