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.