Question

draw the following triangle after a 90-degree counterclockwise rotation about the origin

Answer 1

The rule for a 90 counterclockwise rotation is

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

From the given picture, we can see that the triangle has vertices at

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

after applying the rule from above, we get

$\begin{gathered} (-3,-2)\longrightarrow(2,-3) \\ (-5,-4)\longrightarrow(4,-5) \\ (-1,-5)\longrightarrow(5,-1) \end{gathered}$

Then, the triangle will be