Select the correct answer.
given: ∆abc
prove: a midsegment of ∆abc is paral...
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Mathematics, 01.12.2019 09:31 allanarayos5597
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 solve for 10
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