Answer :

Given:

There are given that rectangle 180 degrees.

Explanation:

According to the concept:

When we rotate any image about 180 degrees with respect to origin then:

[tex](x,y)\rightarrow(-x,-y)[/tex]

Now,

The coordinate point of the rectangle is:

[tex]\begin{gathered} K=(-9,5) \\ L=(-2,5) \\ M=(-2,9) \\ N=(-9,9) \end{gathered}[/tex]

Then,

After rotation, the new coordinate point is:

[tex]\begin{gathered} K^{\prime}=(9,-5) \\ L^{\prime}=(2,-5) \\ M^{\prime}=(2,-9) \\ N^{\prime}=(9,-9) \end{gathered}[/tex]

Final answer:

The graph of the rectangle after rotating about 180 degrees.

View image HalenB680519