In a park, 4 friends are seated and talking through walkie-talkie at the points A, B, C and D as shown in below figure. Two students Shweta and Aditi walk into the park playing and after observing the four friends seated at A, B, C and D for a few minutes. They started drawing rows and columns by taking one corner as origin in order to identify the location of all 4 friends. Based on the above information, answer the following questions:(Attempt any four) (i) NAME THE FIGURE OBTAINED BY JOINING THE POINTS ABCD? ?
Answers
Answer:
ANSWER
According to the fig. A(3,4),B(6,7),C(9,4) and D(6,1) are the position of 4 friends .
If we join all these points then
By using distance formula
=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
AB=
(3−6)
2
+(4−7)
2
=
(−3)
2
+(−3)
2
=
9+9
=
18
=3
2
BC=
(6−9)
2
+(7−4)
2
=
(−3)
2
+(3)
2
=
9+9
=
18
=3
2
CB=
(9−6)
2
+(4−1)
2
=
(3)
2
+(3
2
)
=
9+9
=
18
=3
2
AD=
(3−6)
3
+(4−1)
2
=
−3)
2
+(3)
2
=
9+9
=
18
=3
2
if we join the point AC and BD than
DiagonalAC=
(3−9)
2
+(4−4)
2
=
(−6)
2
+(0)
2
=
36
=6
Diagonal BD=
(6−6)
2
+(7−1)
2
=
(0)
2
+(6)
2
=
36
=6
Hence all the sides of a quadrilateral are the same and the diagonals are also the same so ABCD is a square.
Hence Champa is correct.
solution
Answer:
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