Prove that the points A(-2, -1), B(1, 0), C(4, 3) and D(1, 2) are the vertices of a parallelogram ABCD.
Section Formula
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Question

Prove that the points A(-2, -1), B(1, 0), C(4, 3) and D(1, 2) are the vertices of a parallelogram ABCD.

KnowledgeBoat · Accepted Answer

Given, A(-2, -1), B(1, 0), C(4, 3) and D(1, 2). By using mid-point formula, (x, y) = The Midpoint of Diagonal AC : The Midpoint of Diagonal BD : Since the midpoint of diagonal AC, MAC(1, 1), is the same as the midpoint of diagonal BD, MBD (1, 1), the diagonals AC and BD bisect each other. We know that, A quadrilateral is a parallelogram if its diagonals bisect each other. Hence, proved that ABCD is a parallelogram.

Mathematics

Prove that the points A(-2, -1), B(1, 0), C(4, 3) and D(1, 2) are the vertices of a parallelogram ABCD.

Section Formula

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