Question

The points A(4,5),B(3,1), C(2,2)and D(-2,1) are the vertices of a parallelogram . TRUE Or FALSE why?

Answer 1

is the parallelogram ABCD then it is not a parallelogram because the length opposite sides of a parallelogram is Amber Heard AB is equal to DC but AD is not equal to BC so it is not a parallelogram

Answer 2

HERE IS YOUR ANSWER DEAR MATE....
As we know that In parallelogram parallel sides are equal...
By distance formula, √(x2-x1)²+(y2-y1)²
Therefore, AB=√(3-4)²+(1-5)²
AB=√(-1)²+(-4)²=√1+16=√17 units
And,
DC=√(-2-2)²+(1-2)² » √(-4)²+(-1)²=√16+1=√17 units
Similarly applying the same formula we get AD= √52 and BC= √2 units
So, AB=DC But AD≠BC
Hence, it us false parallel sides are not equal so these are not the vertices of a parallelogram
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HOPE IT HELPS UHH!!! ✌ ✌ ✌
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