Question

Graph the image of rhombus ABCD after a rotation 180° counterclockwise around the origin.

Answer 1

To find the graph of the rhombus after the rotation we first need to notice that the vetexes of the original rhombus are:

`\begin{gathered} A(5,1) \\ B(5,6) \\ C(8,10) \\ D(8,5) \end{gathered}`

Now we need to remember that a 180° rotation is given by:

`(x,y)\rightarrow(-x,-y)`

Applying it to the vertexes we have:

`\begin{gathered} A(5,1)\rightarrow A^(\prime)(-5,-1) \\ B(5,6)\rightarrow B^(\prime)(-5,-6) \\ C(8,10)\rightarrow C^(\prime)(-8,-10) \\ D(8,5)\rightarrow D^(\prime)(-8,-5) \end{gathered}`

Plotting this new points we have the image of the rhombus after the rotation: