Question

What are the new corrdinates of the figure above If it is rotated 90 degrees clockwise about the origin

Answer 1

A 90° rotation clockwise by the origin can be done by transforming each coordinate as follows:

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

So, first, let's identify each point:

`\begin{gathered} A\colon(2,-2) \\ B\colon(6,-2) \\ C\colon\mleft(6,-5\mright) \\ D\colon\mleft(2,-5\mright) \end{gathered}`

Now, we just apply the transformation on each of them:

`\begin{gathered} A\colon(2,-2)\to(-2,-2) \\ B\colon(6,-2)\to(-2,-6) \\ C\colon(6,-5)\to(-5,-6) \\ D\colon(2,-5)\to(-5,-2) \end{gathered}`

Now, we need to look for which alternative corresponds to the coordinates we found. This correpsonds to alternative D.