Question

the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is what

Answer 1

Let's draw this out!


Anything we can say about the line segment between the midpoints of AB and BC?

(lets call that line DE, if it helps. D would be on AB, and E would be on BC).

Answer 2

okay

Answer 3

my options are
A. twice as long
B. half as long
C. one third as long
D. the same length

Answer 4

If you know about similar triangles, can you look at the proportions?



AD and DB are the same lengths, so AB is twice the length of DB, correct?
The same logic can be applied to the other side of the triangle with a midpoint, so which section is twice which section?

Then we know there are these two triangles within the original:


We can use similar triangles to find what DE is, compared to AC. What do you get as your answer?

Answer 5

DE= half of AC

Answer 6

thank you guys!!:))

Answer 7

@dayakar, OpenStudy promotes tutoring, not giving away the answer. @nick.nick , do you understand how the similar triangles can tell you that DE is half as long as AC is?