Question

cuadriláteroteamestá rotado - 180° sobre el origen. dibuja la imagen de esta rotación.

Explanation:

Step1: Find the coordinates of the original points

Assume the coordinates of points \(A\), \(E\), \(M\), \(T\) from the graph. Let's say \(A(- 2,3)\), \(E(2,4)\), \(M(6,7)\), \(T(3,-2)\)

Step2: Apply the rotation rule

The rule for a rotation of \(-180^{\circ}\) (or \(180^{\circ}\)) about the origin is \((x,y)\to(-x,-y)\)

• For point \(A(-2,3)\): \((-2,3)\to(2,-3)\)
• For point \(E(2,4)\): \((2,4)\to(-2,-4)\)
• For point \(M(6,7)\): \((6,7)\to(-6,-7)\)
• For point \(T(3,-2)\): \((3,-2)\to(-3,2)\)

Step3: Plot the new points

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

Answer:

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