which of them is correct.
Name the type of quadrilateral
formed, if any, by the following
points, and give reasons for
your answer:
(i) (-1,-2), (1,0), (-1,2), (-3,0)
(ii) (33,5), (3,1),(0,3), (-1,-4)
(iii) (4,5), (7,6),(4,3),(1,2)
Answers
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Answer:
(i) Let the given points are A(−1,−2), B(1,0), C(−1,2)and D(−3,0) Then,
AB=
(1+1)
2
+(0+2)
2
=
2
2
+2
2
=
4+4
=
8
BC=
(−1−1)
2
+(2−0)
2
=
(2
2
+2
2
)
=
4+4
=
8
CD=
((−3)−(−1))
2
+(0−2)
2
=
2
2
+(−2)
2
=
4+4
=
8
DA=
(−3)−(−1))
2
+(0−(−2))
2
=
(−2)
2
+2
2
=
4+4
=
8
AC
((−1)−(−1))
2
+(2−(−2))
2
=
0+4
2
=
16
=4
BD=
(−3−1)
2
+(0−0)
2
=
−4
2
=
16
=4
Explanation:
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