Without using the distace formula, show that the points A(4,5) ,B(1,2),C(4,3) and D(7,6) are the vertices of a parallogram

Hi!
Here is the answer to your question.
 
Clearly, the diagonals AC and BD of quadrilateral ABCD bisect each other.
Thus, ABCD is a parallelogram.
 
Hope! You got the answer.
Cheers!

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