Answer:
Explanation:
With corners as
A
(
−
2
,
−
1
)
,
B
(
1
,
2
)
,
C
(
5
,
2
)
and
D
(
2
,
−
1
)
, let us find slopes of each side of the parallelogram
A
B
C
D
.
Slope of
A
B
is
2
−
(
−
1
)
1
−
(
−
2
)
=
3
3
=
1
Slope of
B
C
is
2
−
2
5
−
1
=
0
4
=
0
Slope of
C
D
is
(
−
1
−
2
2
−
5
=
−
3
−
3
=
1
Slope of
D
A
is
−
1
−
(
−
1
)
2
−
(
−
2
)
=
0
4
=
0
As slopes of alternate sides of quadrilateral are equal, alternate sides are parallel to each other
and
A
B
C
D
is a parallelogram.