Question

cuadrilátero team se gira - 180°sobre el origen. dibuja la imagen de esta rotación.

Explanation:

Step1: Recall rotation rule

A rotation of - 180° about the origin has the rule \((x,y)\to(-x,-y)\) for each point \((x,y)\) of the pre - image.

Step2: Find new coordinates of point \(T\)

If \(T=(3, - 2)\), then \(T'=(-3,2)\) since \(x = 3,y=-2\) and \(-x=-3,-y = 2\).

Step3: Find new coordinates of point \(E\)

If \(E=(2,2)\), then \(E'=(-2,-2)\) as \(x = 2,y = 2\) and \(-x=-2,-y=-2\).

Step4: Find new coordinates of point \(A\)

If \(A=(-2,2)\), then \(A'=(2,-2)\) because \(x=-2,y = 2\) and \(-x = 2,-y=-2\).

Step5: Find new coordinates of point \(M\)

If \(M=(5,7)\), then \(M'=(-5,-7)\) since \(x = 5,y = 7\) and \(-x=-5,-y=-7\).

Step6: Draw the new quadrilateral

Plot the points \(T'(-3,2)\), \(E'(-2,-2)\), \(A'(2,-2)\) and \(M'(-5,-7)\) and connect them in order to get the image of the rotation.

Answer:

Plot the points \(T'(-3,2)\), \(E'(-2,-2)\), \(A'(2,-2)\) and \(M'(-5,-7)\) and connect them to form the rotated quadrilateral.