Question

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

Explanation:

Step1: Find coordinates of points

Assume \(N(-7,-3)\), \(O(-4,4)\), \(W(-2,1)\).

Step2: Apply rotation rule

The rule for a \(90^{\circ}\) rotation about the origin \((x,y)\to(-y,x)\).
For \(N(-7,-3)\): \(x = - 7,y=-3\), new coordinates \((3,-7)\).
For \(O(-4,4)\): \(x=-4,y = 4\), new coordinates \((-4,-4)\).
For \(W(-2,1)\): \(x=-2,y = 1\), new coordinates \((-1,-2)\).

Step3: Plot new points

Plot the points \((3,-7)\), \((-4,-4)\), \((-1,-2)\) and connect them to form \(\triangle N'O'W'\).

Answer:

Plot the points \((3,-7)\), \((-4,-4)\), \((-1,-2)\) and draw the triangle.