Question

Write the coordinates of the vertices after a rotation 270º counterclockwise around the origin.Gho4FE-10 -8 -6-4-28642-2-4-6246 8 10

Answer 1

Given:

The coordinates of the vertices are,

`\begin{gathered} E(-8,6) \\ F(-8,10) \\ G(-3,10) \\ H(-3,6) \end{gathered}`

To find:

The coordinates of the vertices after the rotation of 270 degrees counterclockwise direction.

Step-by-step explanation:

The transformation rule is,

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

Applying the rule,

The new coordinates of the vertices become,

`\begin{gathered} E^(\prime)(6,8) \\ F^(\prime)(10,8) \\ G^(\prime)(10,3) \\ H^(\prime)(6,3) \end{gathered}`

Final answer:

The new coordinates of the vertices become,

`\begin{gathered} E^(\prime)(6,8) \\ F^(\prime)(10,8) \\ G^(\prime)(10,3) \\ H^(\prime)(6,3) \end{gathered}`