A parallelogram is a quadrilateral where the diagonals bisect each other. This means the midpoint of one diagonal is the same as the midpoint of the other diagonal. Given three points A, B, and C, the fourth point D can be positioned in three different ways to form a parallelogram. Each case considers a different pair of points forming a diagonal.
Consider the point A(-1,2), B(6,2) and C(1,-20) in the plane. For how many different points D in the plane are A, B, C and D the vertices of Parallelogram?
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Question context
This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the SPSC – Sindh Public Service Commission preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.