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Byju's Answer
Standard VIII
Mathematics
Square
Show that the...
Question
Show that the points A(1, 2), B(5, 4), C(3, 5) and D(-1, 5) are the vertices of a square.
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Solution
A
B
=
√
(
5
−
1
)
2
+
(
4
−
2
)
2
=
√
4
2
+
2
2
B
C
=
√
(
3
−
5
)
2
+
(
5
−
4
)
2
=
√
2
2
+
1
2
C
D
=
√
(
−
1
−
3
)
2
+
(
5
−
5
)
2
=
√
4
2
+
0
2
D
A
=
√
(
1
+
1
)
2
+
(
2
−
5
)
2
=
√
2
2
+
3
2
Since
A
B
≠
B
C
≠
C
D
≠
D
A
∴
It is not a square.
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Show that the points
(
3
,
−
2
)
,
(
4
,
0
)
,
(
6
,
−
3
)
and
(
5
,
−
5
)
are the vertices of a parallelogram.
Q.
Show that A(4, –1), B(6, 0), C(7, –2) and D(5, –3) are vertices of a square.