Question

Graph the image of rectangle KLMN after a rotation 180° counterclockwise around the origin.

Answer 1

Given:

There are given that rectangle 180 degrees.

Step-by-step explanation:

According to the concept:

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

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

Now,

The coordinate point of the rectangle is:

`\begin{gathered} K=(-9,5) \\ L=(-2,5) \\ M=(-2,9) \\ N=(-9,9) \end{gathered}`

Then,

After rotation, the new coordinate point is:

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

Final answer:

The graph of the rectangle after rotating about 180 degrees.