Question

Graph the image of kite ABCD after a rotation 180° counterclockwise around the origin.

Answer 1

Solution:

Given a kite ABCD on a graphhh, with the coordinates given below

$\begin{gathered} A(-8,-6) \\ B(-7,-2) \\ C(-1,-6) \\ D(-7,-10) \end{gathered}$

If the kite is rotated 180° counterclockwise around the origin,

The rule for a rotation 180° counterclockwise around the origin is

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

The coordinates of the kite after the rotation of 180° counterclockwise around the origin will be

$\begin{gathered} A(-8,-6)\rightarrow A^{\prime}(8,6) \\ B^{\prime}(-7,-2)\rightarrow B^{\prime}^(7,2) \\ C(-1,-6)\rightarrow C^{\prime}(1,6) \\ D(-7,-10)\rightarrow D^{\prime}(7,10) \end{gathered}$

The graph is shown below