Question

quadrilateral army is rotated 90° about the origin. draw the image of this rotation.

Explanation:

Step1: Find the coordinates of each vertex

Assume the coordinates of \(A(2,3)\), \(R(5,7)\), \(M(7,5)\), \(Y(5,1)\)

Step2: Apply the rotation rule for \(90^{\circ}\) counter - clockwise about the origin

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

• For point \(A(2,3)\): \((2,3)\to(- 3,2)\)
• For point \(R(5,7)\): \((5,7)\to(-7,5)\)
• For point \(M(7,5)\): \((7,5)\to(-5,7)\)
• For point \(Y(5,1)\): \((5,1)\to(-1,5)\)

Step3: Plot the new points and connect them

Plot the points \((-3,2)\), \((-7,5)\), \((-5,7)\), \((-1,5)\) on the coordinate plane and connect them in order to form the rotated quadrilateral.

Answer:

After following the above steps, the image of the rotated quadrilateral can be drawn on the coordinate plane.