A (2, 5), B (1, 0), C(-4, 3) and D (-3, 8) are the vertices of quadrilateral ABCD. Find the co-ordinates of the mid-points of AC and BD. Give a special name to the quadrilateral.
Section Formula
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Question

A (2, 5), B (1, 0), C(-4, 3) and D (-3, 8) are the vertices of quadrilateral ABCD. Find the co-ordinates of the mid-points of AC and BD. Give a special name to the quadrilateral.

KnowledgeBoat · Accepted Answer

By formula, Mid-point = Let mid-point of AC be E. Substituting value we get, Let mid-point of BD be F. Substituting value we get, Thus, the co-ordinates of the mid-points of AC and BD are same i.e., AC and BD bisect each other. ∴ ABCD is a parallelogram. Hence, the co-ordinates of the mid-points of AC = (-1, 4) and BD = (-1, 4) and ABCD is a parallelogram.

Mathematics

A (2, 5), B (1, 0), C(-4, 3) and D (-3, 8) are the vertices of quadrilateral ABCD. Find the co-ordinates of the mid-points of AC and BD. Give a special name to the quadrilateral.

Section Formula

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