prove that (2,0),(5,0),(6,2)and(3,2)points are add to be related parallelogram?
Answers
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Given : (2,0), (5,0), (6, 2) (3,2)
To find : Parallelogram or not
Solution:
A = ( 2 , 0)
B = ( 5 , 0)
C = ( 6 , 2)
D = ( 3 , 2)
Slope AB = (0 - 0)/(5 - 2) = 0/3 = 0
Slope of CD = ( 2 - 2)/(3 - 6) = 0/(-3) = 0
AB ║ CD
Slope of BC = ( 2 - 0)/(6 - 5) = 2/1 = 2
Slope of AD = ( 2 - 0)/(3 - 2) =2/1 = 2
AD ║ BC
AB = √(5 - 2)² + (0 - 0)² = 3
CD = √(6 - 3)² + (0 - 0)² = 3
AB = CD
BC = √(6 - 5)² + (2 - 0)² = √5
AD = √(3 - 2)² + (2 - 0)² = √5
AD = BC
AB ║ CD , AB = CD
AD ║ BC , AD = BC
Opposite sides are equal & parallel
Hence Parallelogram
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