139k views
4 votes
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.

On this coordinate plane, triangle ABC will be rotated 90 degrees clockwise about-example-1
User Nate T
by
2.9k points

1 Answer

7 votes

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

On this coordinate plane, triangle ABC will be rotated 90 degrees clockwise about-example-1
On this coordinate plane, triangle ABC will be rotated 90 degrees clockwise about-example-2
User Alec The Geek
by
3.3k points