Question

Quadrilateral JKLM is rotated - 270° about the origin.Draw the image of this rotation.

Answer 1

You have the Quadrilateral JKLM shown in the picture. The coordinates of its vertices are:

`\begin{gathered} J(3,3) \\ K(5,-5) \\ L(-3,-7) \\ M(3,-3) \end{gathered}`

By definition, the rule for a Rotation of 270 degrees centered at the Origin is:

`\mleft(x,y\mright)\to(y,-x)`

Since you know the coordinates of the Pre-Image (Quadrilateral JKLM), you can apply this rule to find the coordinates of its Image (Quadrilateral J'K'L'M'). Then, you get:

`\begin{gathered} J(3,3)\rightarrow J^(\prime)(3,-3) \\ K(5,-5)\rightarrow K^(\prime)(-5,-5) \\ L(-3,-7)\rightarrow L^(\prime)(-7,3) \\ M(3,-3)\rightarrow M^(\prime)(-3,-3) \end{gathered}`

Knowing these coordinates, you can draw the Quadrilateral J'K'L'M'