Question

GIVE MEDAL!!

Given: ABC
Prove: A midsegment of ABC is parallel to a side of ABC.

What is the reason for statement 3 in this proof?

using point-slope formula

definition of parallel lines

Transitive Property of Equality

Reflexive Property of Equality

definition of midpoint

Answer 1

Is there a diagram?

Answer 2

there you go :)

Answer 3

and ill become fan to ;)

Answer 4

Is there a diagram of the proof I meant lol

Answer 5

oh lol

Answer 6

Statement Reason
1. Define the vertices of ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given
2. Let D be the midpoint of and E be the midpoint of . defining midpoints
3.

4. slope of =
slope of = definition of slope
5. slope of = slope of Transitive Property of Equality
6. is parallel to definition of parallel lines
7. Let F be the midpoint of . defining a midpoint
8. definition of midpoint
9. slope of =
slope of = definition of slope
10. slope of = slope of Transitive Property of Equality
11. is parallel to . definition of parallel lines
12. Similarly, is parallel to . steps similar to steps 1-11

Answer 7

there :)

Answer 8

Well, since we have more than what i usually seen, you could say that it's the reflexive property

Answer 9

thx ;)

Answer 10

Youre welcome