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 ∆

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Question 1129570: 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: 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


Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.

For your info:


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