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 the statement and reasons are not in correct order.

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 the statement and reasons are not in correct order.

perl · Answer

do you have the two column proof ?

domebotnos · Answer

domebotnos · Answer

Which is the most logical order of statements and reasons for the proof?
II,III, I, IV, V
I, III, II, V, IV
I, III, II, IV, V
III, II, I, V, IV

domebotnos · Answer

I think is between B and D.  Can you explain it and help me figure it out?

perl · Answer

one moment, working on another student

domebotnos · Answer

Are you still here?

perl · Answer

so we know that DE connects the midpoints of the two sides

domebotnos · Answer

Yes.

perl · Answer

so the first step would be to use the midpoint formula

domebotnos · Answer

Why?

perl · Answer

the midpoint of a line segment formula , on an x y graph

domebotnos · Answer

Why do you need to find the coordinates first?

perl · Answer

in the directions it is given that D is the midpoint of AB, and E is the midpoint of BC

perl · Answer

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

so you are given that DE joins the midpoints of the two sides it intersects

domebotnos · Answer

Okay.

perl · Answer

now if you are given the endpoints of a line segment , on an xy graph, you can use the midpoint formula to find the midpoint

perl · Answer

|dw:1415841716424:dw|