Question

6 triangle abc is shown in the xy - coordinate plane. it will be rotated 90 degrees clockwise about the origin to form triangle abc. graph the correct orientation of abc in the coordinate plane. click to select polygon abc

Explanation:

Step1: Find the coordinates of \(A\), \(B\), \(C\)

Assume \(A=(1,1)\), \(B=(3,3)\), \(C=(6,2)\)

Step2: Apply the rotation rule

The rule for a \(90^{\circ}\) clockwise rotation about the origin \((x,y)\to(y, -x)\)
For point \(A=(1,1)\), after rotation \(A'=(1,-1)\)
For point \(B=(3,3)\), after rotation \(B'=(3,-3)\)
For point \(C=(6,2)\), after rotation \(C'=(2,-6)\)

Step3: Plot the new points

Plot \(A'(1,-1)\), \(B'(3,-3)\), \(C'(2,-6)\) and connect them to form \(\triangle A'B'C'\)

Answer:

Plot the points \((1,-1)\), \((3,-3)\), \((2,-6)\) and connect them to get the graph of \(\triangle A'B'C'\)