Which of the following segments represents a median?

The figure is an example of a(n) ...

The figure is an example of a(n) ...

Given 
∠BAN ≅ ∠NAC
BR = RC.
Segment AT is a(n)....

Given 
∠BAN ≅ ∠NAC
BR = RC.
Segment AN is a(n)....

Given 
∠BAN ≅ ∠NAC
BR = RC.
Segment PR is a(n)....

Name the type of segment pictured.

Solve for x.

Challenge!!

Find the value of y.

(Use decimals if needed)

Be prepared to justify your answer.