Question

Look at the figure. Complete the statement and justify your answer.

http://i.imgur.com/iVsINeA.jpg

Answer 1

@jim_thompson5910

Answer 2

I would guess either B or D.

Answer 3

You're right, it is line UW, but why?
A quick google search yielded that the reflexive property of congruence is "For all angles A, angle A is congruent to angle A.

An angle is congruent to itself."
as according to http://hotmath.com/hotmath_help/topics/properties-of-congruence.html

This isn't too relevant, as there are many angles!

Converse of Isosceles Triangle Theorem is: If two angles of a triangle are congruent, then the sides opposite to these angles are congruent.
Hey, that's applicable to the situation! Congruent angles yield congruent opposite sides. All of the angles are the same, and thus, all of the sides opposite to 2 of these angles are also the same. So I'm pretty positive it's the answer.