Question

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

Explanation:

Step1: Determine the coordinates of the original points

• Point \(A(3,3)\)
• Point \(R(5,7)\)
• Point \(M(7,5)\)
• Point \(Y(5,1)\)

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

• For point \(A(3,3)\): \((x = 3,y = 3)\), after rotation \(A'(-3,3)\)
• For point \(R(5,7)\): \((x = 5,y = 7)\), after rotation \(R'(-7,5)\)
• For point \(M(7,5)\): \((x = 7,y = 5)\), after rotation \(M'(-5,7)\)
• For point \(Y(5,1)\): \((x = 5,y = 1)\), after rotation \(Y'(-1,5)\)

Step3: Plot the new points \(A'(-3,3)\), \(R'(-7,5)\), \(M'(-5,7)\), \(Y'(-1,5)\) and connect them to form the rotated quadrilateral

Answer:

Plot the points \(A'(-3,3)\), \(R'(-7,5)\), \(M'(-5,7)\), \(Y'(-1,5)\) on the coordinate plane and connect them to get the image of the rotation.