Question

quadrilateral team is rotated - 180° about the origin. draw the image of this rotation.

Explanation:

Step1: Find coordinates of original points

From the graph, assume coordinates: \(A(-2,3)\), \(E(2,4)\), \(M(6,7)\), \(T(3, - 2)\)

Step2: Apply rotation rule

The rule for a \(-180^{\circ}\) (or \(180^{\circ}\)) rotation about the origin is \((x,y)\to(-x,-y)\)
For \(A(-2,3)\): \((-(-2),-3)=(2,-3)\)
For \(E(2,4)\): \((-2,-4)\)
For \(M(6,7)\): \((-6,-7)\)
For \(T(3,-2)\): \((-3,2)\)

Step3: Plot new points

Plot the points \((2,-3)\), \((-2,-4)\), \((-6,-7)\), \((-3,2)\) and connect them to form the rotated quadrilateral.

Answer:

Follow the above steps to draw the rotated quadrilateral.