Given a line ABCD in which AB = BC = CD, B = (0, 3) and C = (1, 8). Find the co-ordinates of A and D.
Section Formula
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Question

Given a line ABCD in which AB = BC = CD, B = (0, 3) and C = (1, 8). Find the co-ordinates of A and D.

KnowledgeBoat · Accepted Answer

Let co-ordinates of A be (x, y) and D be (p, q). Since, AB = BC. B is the mid-point of AC. By formula, Mid-point = Substituting values we get, A = (x, y) = (-1, -2). Since, BC = CD. C is mid-point of BD. By formula, Mid-point = Substituting values we get, D = (p, q) = (2, 13). Hence, the co-ordinates of A = (-1, -2) and D = (2, 13).

Mathematics

Given a line ABCD in which AB = BC = CD, B = (0, 3) and C = (1, 8). Find the co-ordinates of A and D.

Section Formula

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