# Segment AB contains points A, X, Y, and B. X is the midpoint of segment AY, and Y is the midpoint of segment XB. How would you prove that segment AX is congruent to segment YB?

##### 1 Answer

Nov 24, 2015

See below.

#### Explanation:

Let the length of segment

length of segment

length of segment

Then, since

Since

From both of these equations we derive that, since

So, segments