Right triangle DEF has vertices at D(0, 0) and E(10, 0). Which best
describes possible
locations of point F?

Given:
Right triangle DEF has vertices at D(0, 0) and E(10, 0).
To find:
The correct description of point F.
Solution:
In vertices D(0, 0) and E(10, 0), y-coordinates are same, i.e. 0.
So, DE is a horizonal line segment.
Triangle DEF is a right angle triangle in means any two sides are perpendicular to each other.
We know that, all vertical lines are perpendicular to the horizontal lines.
x-coordinate of D is 0. So, F can be any point on the line x=0 except where y=0
x-coordinate of E is 10. So, F can be any point on the line x=10 except where y=0.
Therefore, the correct option is C.