Dis the midpoint of segment ab, e is the midpoint of segment bc, and f is the midpoint of segment ac. which segment is a mid segment of cab.

a.) bc
b.) bf
c.)ba
d.)ed

ED is a midsegment of CAB.

Step-by-step explanation:

Given

D is the midpoint of segment AB

Therefore,DB=DA

E is the midpoint of segment BC

Therefore, BE=EC

F is the midpoint of AC

Therefore, CF=FA

Mid segment theorem: In a triangle , the segment joining  midpoints of any two sides will be parallel to the third side and half of its length.The segment joining midpoints of two sides is called mid segment.

The segment ED is the only segment in the given figure  which join the midpoint of two sides BC and AB.

By midsegment theorem

Hence,segment ED is a mid segment of CAB.