Question

On this coordinate plane, triangle ABC will be rotated 90 degrees clockwise about the origin to form its image, triangle A’B’C’.Select the correct orientation of triangle A’B’C’ and position it correctly on the plane.

Answer 1

Given

A(2,8), B(2,4), C(8,4)

A 90° clockwise about the origin has the following rules

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

Apply these rules to each of the point and we get

$\begin{gathered} A\left(2,8\right)\rightarrow A^{\prime}(8,-2) \\ B\left(2,4\right)\operatorname{\rightarrow}B^{\prime}(4,-2) \\ C\left(8,4\right)\operatorname{\rightarrow}C^{\prime}(4,-8) \end{gathered}$

Drawing a diagram of the image we have the following