Determine if the segment x is half the length, double the length, two thirds the length, or the same length as segment y.

x is half the length of y

x is double the length of y

x is 2/3 the length of y

x is the same length as y

The right answer is The Same Length.
The triangle displayed is Isosceles. The explanation of this statement is the fact that the Line which is making a right angle it is also the one that slices the segment into equal segments. Mathematically speaking, in our triangle the 
Median is perpendicular on the segment from which results that the triangle is Isosceles and x = y.