Est Length: 2:00:00 Austin Kent: Attempt 1
Page 1
Gina wrote the following paragraph to prove that the segment joining the midpoints
of two sides of a triangle is parallel to the third side:
2
3
Given: AABC
Prove: The midsegment between sides AB and BC is parallel to side AC.
5
Draw AABC on the coordinate plane with point A at the origin (0,0). Let point B
have the ordered pair (x1.71) and locate point on the x-axis at (x2,0). Point D is
(otx ot
2 2
the midpoint of AB with coordinates at
by the slope formula. Point Eis
x+x0+y,
2
the midpoint of BC with an ordered pair of
2
by the slope formula. The
slope of DE is found to be 0 through the application of the slope formula:
O+y, 0+y
2 2
0
X+X0+x
2
2 2 When the slope formula is applied to AC
0
its slope is also 0. Since the slope of DE and AC are identical, DE
and AC are parallel by the definition of parallel lines.
Which statement corrects the flaw in Gina's proof? (4 points)
O