Question

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

Statement Reason
1. Define the vertices of ΔABC 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
18
What is the reason for statement 3 in this proof?
A.
using point-slope formula
B.
definition of parallel lines
C.
Transitive Property of Equality
D.
Reflexive Property of Equality
E.
definition of midpoint

Answer 1

Is nothing show for statement 3?

Answer 2

Shown*

Answer 3

the question is what is the reason for statement 3

Answer 4

What is the reason for statement 3 in this proof?
A.
using point-slope formula
B.
definition of parallel lines
C.
Transitive Property of Equality
D.
Reflexive Property of Equality
E.
definition of midpoint

Answer 5

Oh so which one goes there?
I misunderstood x.x
I'm not entirely sure on this one
@Dude