Question

D is 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

Answer 1

The answer is choice D, which is segment ED. Segment ED is the same as segment DE. A midsegment must involve two midpoints. Specifically a midsegment connects two midpoints of a triangle's side lengths.

We can rule out the other answer choices because point B is not a midpoint.

Answer 2

ED is a midsegment of CAB.

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.