Select the correct answer. given: ∆abc prove: a midsegment of ∆abc is parallel to a side of ∆abc. 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. definition of midpoints.
4. slope of slope of definition of slope.
5. slope of = slope of transitive property of equality.
6. 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. 11. definition of parallel lines
12. similarly, is parallel to . steps similar to steps 1−11 what is the missing step in this proof?
a. statement: slope of = slope of reason: definition of slope.
b. statement: slope of = slope of reason: transitive property of equality.
c. statement: df = bc reason: corresponding sides of congruent triangles are congruent.
d. statement: ∆adf ≅ ∆abc reason: asa