Question

May I please get help with this. For I have tried multiple times but still could not get the correct answers for them or even plot it on the graph 90 degrees clockwise

Answer 1

To rotate the figure 90 degrees clockwise about a point, every point (x, y) will rotate to (y, -x):

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

The vertices of the triangle have the following coordinates:

`\begin{gathered} 1=(-5,-1) \\ 2=(-1,-2) \\ 3=(-3,-4) \end{gathered}`

Applying the transformation rule, we have the new coordinates to be:

`\begin{gathered} 1\to(-1,-(-5))=(-1,5) \\ 2\to(-2,-(-1))=(-2,1) \\ 3\to(-4,-(-3))=(-4,3) \end{gathered}`

The transformed image is shown below (the black triangle):