Respuesta :
Answer:
It’s a parallelogram
Step-by-step explanation:
Explanation:
Given : A(3,−5),B(5
,
−
2
)
,
C
(
10
,
−
4
)
,
D
(
8
,
−
7
)
Slope
m
A
B
=
−
2
+
5
5
−
3
=
3
2
Slope
m
B
C
=
−
4
+
2
10
−
5
=
−
2
5
Slope
m
C
D
=
−
7
+
4
8
−
10
=
3
2
Slope
m
D
A
=
−
7
+
5
8
−
3
=
−
2
5
Slopes of opposite sides are equal. Hence, they are parallel.
−−→
A
B
=
s
r
t
(
(
5
−
3
)
2
+
(−2+5)2)=√13
−−→
B
C
=
s
r
t
(
(
5
−
10
)
2
+
(
−
2
+
4
)
2
)
=
√
29
−−→
C
D
=
s
r
t
(
(
8
−
10
)
2
+
(
−
7
+
4
)
2
)
=
√
13
−−→
D
A
=
s
r
t
(
(
8
−
3
)
2
+
(
−
7
+
5
)
2
)
=
√
29
Since only opposite sides are parallel and equal, and the product of the slopes of the adjacent sides not equal to (-1), it a simple parallel.
