Question

Which of the following represents a rotation of triangle JKW, which has vertices J (-7, 15), K (21,- 62), and W (-14,-32), about the origion by 180 degrees?

Answer 1

Given the vertices of triangle JKW:

$\begin{gathered} J(-7,15) \\ K(21,-62) \\ W(-14,-32) \end{gathered}$

You need to remember the following Transformation Rule for a Rotation of 180 degrees about the Origin:

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

As you can notice, the signs of the coordinates of a point under that Transformation Rule, change.

Then, applying that rule, you get:

$\begin{gathered} J(-7,15)\rightarrow J^{\prime}(7,-15) \\ \\ K(21,-62)\rightarrow K^{\prime}(-21,62) \end{gathered}$$W(-14,-32)\rightarrow W(14,32)$

Hence, the answer is: Second option.