42. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(4, 5), (7, 6), (4, 3), (1, 2)
Answers
Answered by
7
Answer:
A(4,5),B(7,6),C(4,3),D(1,2)
AB=
(4−7)
2
+(5−6)
2
AB=
10
BC=
(7−4)
2
+(6−3)
2
BC=
18
CD=
(4−1)
2
+(3−2)
2
CD=
10
AD=
(4−1)
2
+(5−2)
2
AD=
18
AB=CD=
10
AD=BC=
18
BD=
(7−1)
2
+(6−2)
2
BD=
42
Since the opposite sides are equal and diagonals are unequal.
So the quadrilateral would be a parallelogram.
Answered by
1
Answer:
A(4,5),B(7,6),C(4,3),D(1,2)
AB= (4−7) ^2 +(5−6) ^2
AB= 10
BC= (7−4) ^2 +(6−3) ^2
BC= 18
CD= (4−1) ^2 +(3−2) ^2
CD= 10
AD= (4−1)^ 2+(5−2) ^2
AD= 18
AB=CD= 10
AD=BC= 18
BD= (7−1) ^2+(6−2) ^2
BD= 42
Since the opposite sides are equal and diagonals are unequal.
So the quadrilateral would be a parallelogram.
Hope it helps you
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