23.7k views
2 votes
For the image below, state the line of reflection:-b36Dy=-XY=x0x-axisoy-a

User Arkoudinos
by
3.4k points

1 Answer

3 votes

To solve the exercise, let us see what are the coordinates of the points that form the figure before and after making the reflection:


\begin{gathered} A(-2,8)\rightarrow A^(\prime)(8,-2) \\ B(-6,0)\rightarrow B^(\prime)(0,-6) \\ C(-10,6)\rightarrow C^{^(\prime)}(6,-10) \end{gathered}

As you can see the reflection of all the points has the form:


(x,y)\rightarrow(y,x)

which occurs when the line of reflection is the line:


y=x

Therefore, the correct answer is option B.

User Matheusvmbruno
by
3.0k points