প্রমাণ করো যে (2,0),(5,0),(6,2)এবং (3,2) বিন্দুগুলি পরপর যোগ করলে একটি সমান্তরিক উৎপন্ন হয় ৷
Answers
Given : points (2,0), (5,0), (6,2) and (3,2) connected in order
To Find : Prove that figure formed in Parallelogram
Solution:
A (2,0), B (5,0), C (6,2) and D (3,2)
Diagonals of parallelogram bisect each other
Mid point of AC = ( 2 + 6)/2 , ( 0 + 2)/2 = (4 , 1 )
Mid point of BD = ( 5 + 3)/2 , ( 0 + 2)/2 = (4 , 1)
As Diagonals bisecting each other
so ABCD form a parallelogram
other way
AB = 3
BC = √5
CD = 3
AD = √5
AB = CD and AD = BC
As pair of opposite sides are Equal
Hence ABCD form a parallelogram
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