9. Name the type of quadrilateral formed, if any, by the following points, and give reason for your answer.
(ii) (-3,5),(1, 10), (3, 1).(-1,-4)
Answers
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Answer:
Let the given points are A(−3,5),B(3,1),C(0,3) and D(−1,−4)Then
AB=
(−3−3)
2
+(5−1)
2
=
(−6)
2
+4
2
=
36+16
=
52
BC=
(3−0)
2
+(1−3)
2
=
(3
2
+(−2)2
2
)
=
9+4
=
11
CD=
(0−(−1))
2
+(3−(−4))
2
=
1
2
+(7)
2
=
1+49
=
50
DA=
(−1)−(−3))
2
+((−4)−5))
2
=
(2)
2
+(−9)
2
=
4+81
=
85
Here AB
=BC
=CD
=DA
∴ it is a quadrilateral.
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