The points A(6, 1), B(8, 2), C(9, 4), D(p, 3) are the vertices of a parallelogram ABCD taken in order. (In a parallelogram, the diagonals bisect each other.) Find p.
Class 10Section FormulaGeometry — Coordinates
A8
B14
C6
D7
Step-by-Step Solution
Midpoint AC = midpoint BD. AC mid=(26+9,21+4)=(7.5,2.5). BD mid=(28+p,22+3)=(28+p,2.5). So 28+p=7.5⇒p=7.
Answer: D) 7
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