Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
A two column proof of the theorem is shown, but a justification is missing.

Which is the missing justification?
Select one:
a. Additive Identity
b. Distance Formula
c. Midsegment Theorem
d. Transitive Property of Equality

Question

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
A two column proof of the theorem is shown, but a justification is missing.

Which is the missing justification?
Select one:
a. Additive Identity
b. Distance Formula
c. Midsegment Theorem
d. Transitive Property of Equality

simplymarie_x · Answer

attachment

anonymous · Answer

@simplymarie_x - what do you think should be the justification in second row?

simplymarie_x · Answer

I don't know. I don't understand this. I'm going to go with C because of that link the person gave me?

anonymous · Answer

As you can see we know the points D and E to be (4,5) and (5,3) respectively, we can use distance formula to get length of DE and AC... In my opinion it should be option "B"

simplymarie_x · Answer

I'll try B then, thank you. :)