255
Chapter 8
For (2,
2) and (0, 4),
RT
QS
.
slope of
SR
¬
1
1
(
(
1
1
)
)
¬
1
Suppose
T
is (0, 4).
slope of
QT
¬
0
4
(
2
2)
¬
1
So
SR
QT
.
So, (2,
2), (
4, 0), and (0, 4) are the possibilities
for the fourth vertex. Any of these values results
in both pairs of opposite sides being parallel, and
thus, the four points form a parallelogram.
37.
JKLM
is a parallelogram because
KM
and
JL
are
diagonals that bisect each other.
38.
If both pairs of opposite sides are parallel and
congruent, then the watchbox is a parallelogram.
39. Given:
AD
BC
AB
DC
Prove:
ABCD
is a
parallelogram.
Proof:
40. Given:
AE
EC
,
DE
EB
Prove:
ABCD
is a parallelogram.
Proof:
41. Given:
AB
DC
AB
DC
Prove:
ABCD
is a parallelogram.
Proof:
42.
This theorem is not true.
ABCD
is a
parallelogram with diagonal
BD
,
ABD
CBD
.
43. Given:
ABCDEF
is a regular hexagon.
Prove:
FDCA
is a parallelogram.
Proof:
44.
Sample answer: The roofs of some covered bridges
are parallelograms. The opposite sides are
congruent and parallel. Answers should include
the following.
This is the end of the preview.
Sign up
to
access the rest of the document.
- Fall '10
- Dr.Zhan
- Calculus, Pre-Calculus, Slope, Trigraph, Quadrilateral, Parallelogram
-
Click to edit the document details