1.

5. Show thot points P/2, -2), 0(7, 3), Pi11, -1) and 5 16,-6 oreparallelogrom.

Answer»

We know one thing about parallelogram,

diagonals of a parallelogram bisects each other

e.g., midpoint of diagonal PR = midpoint of diagonal QS

midpoint of diagonal PR = {(2 + 11)/2, (-2 -1)/2 } = (13/2,-3/2)[ From midpoint section formula, we know that if two points (x₁,y₁) and (x₂,y₂) are given then midpoint of line joining of giebn pouts is {(x₁ + x₂)/2, (y₁ + y₂)/2}]

Similarly, midpoint of QS = {(7 + 6)/2 , (3 -6)/2} = (13/2 , -3/2)Here we see midpoint of PR = midpoint of QS so, PQRS is parallelogram

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