Question

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

Answer 1

Step-by-step explanation:

Step 1:

Write out the coordinates of TUVW

`\begin{gathered} T=(5,1) \\ U=(8,1) \\ V=(8,8) \\ W=(5,8) \end{gathered}`

Concept:

The rule for rotation 180 degrees counterclockwise about the origin is given below as

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

Step 2:

Apply the counterclockwise rule above

`\begin{gathered} T=(5,1) \\ T^(\prime)=(-5,-1) \\ U=(8,1) \\ U^(\prime)=(-8,-1) \\ V=(8,8) \\ V^(\prime)=(-8,-8) \\ W=(5,8) \\ W^(\prime)=(-5,-8) \end{gathered}`

By graphing the coordinates above, we will have the image of the rectangle be