Triangle BGC is the right triangle, because BG is perpendicular to CC, so the correct option is the last one.
Which triangle must be a right triangle and why?
A right triangle is a triangle that has an internal angle with a measure of 90°.
This means that two of the sides of the triangle must be perpendicular between them.
Now, if we look at the image, the line containing points E, F, and G, is perpendicular to the lines:
DF and CG.
So we know that our triangle will be made with some of these lines.
For example, the right triangles in the figure are:
BFD, BGC, B'FD', and B'GC'.
Now, with that in mind, the correct option is:
"ΔBGC, because BG ⊥CC"
There says that "Triangle BGC is the correct option, because BG is perpendicular to CC".
If you want to learn more about right triangles, you can read:
https://brainly.com/question/2217700