Question

△now is rotated 90° about the origin. draw the image of this rotation.

Explanation:

Step1: Find the coordinates of the original points

Assume the coordinates of \(N(-6,-3)\), \(O(-4,4)\), \(W(-1,1)\)

Step2: Apply the rotation rule for \(90^{\circ}\) clockwise about the origin \((x,y)\to(y, -x)\)

For point \(N(-6,-3)\):
\(x=-6,y = - 3\), after rotation \(N'(-3,6)\)
For point \(O(-4,4)\):
\(x=-4,y = 4\), after rotation \(O'(4,4)\)
For point \(W(-1,1)\):
\(x=-1,y = 1\), after rotation \(W'(1,1)\)

Step3: Plot the new points

Plot \(N'(-3,6)\), \(O'(4,4)\), \(W'(1,1)\) and connect them to form the rotated triangle.

Answer:

Plot the points \(N'(-3,6)\), \(O'(4,4)\), \(W'(1,1)\) and connect them.