SOLUTION: 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 ∆
Algebra ->
Geometry-proofs
-> SOLUTION: 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 ∆
Log On
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: definition of slope
Reason: Transitive Property of Equality
C.
Statement: DF = BC
Reason: Corresponding sides of congruent triangles are congruent.
D.
Statement: ∆ADF ≅ ∆ABC
Reason: ASA
