Question

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

Explanation:

Step1: Determine the coordinates of points N, O, W

Assume \(N(-7,-2)\), \(O(-4,4)\), \(W(-1,1)\)

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

For point \(N(-7,-2)\):
\(x = - 7,y=-2\), after rotation \(N'=(2,-7)\)
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 \(N'(2,-7)\), \(O'(-4,-4)\), \(W'(-1,-1)\) and connect them to form \(\triangle N'O'W'\)

Answer:

Plot the points \(N'(2,-7)\), \(O'(-4,-4)\), \(W'(-1,-1)\) and draw the triangle.