If the points A(-2, -1), B(1, 0), C(a, 3) and D(1, b) form a parallelogram, find the values of a and b.
Section Formula
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Question

If the points A(-2, -1), B(1, 0), C(a, 3) and D(1, b) form a parallelogram, find the values of a and b.

KnowledgeBoat · Accepted Answer

We know that, Diagonals of a parallelogram bisect each other. Since, ABCD is a // gm. Thus, Mid-point of AC = Mid-point of BD. Given, A(-2, -1), B(1, 0), C(a, 3) and D(1, b) By using mid-point formula, (x, y) = Mid-point of AC : Midpoint of Diagonal BD : Equating the x-coordinates of mid-points of AC and BD, we get : ⇒ = 1 ⇒ -2 + a = 2 ⇒ a = 2 + 2 ⇒ a = 4. Equating the y-coordinates: ⇒ 1 = ⇒ b = 2. Hence, a = 4 and b = 2.

Mathematics

If the points A(-2, -1), B(1, 0), C(a, 3) and D(1, b) form a parallelogram, find the values of a and b.

Section Formula

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