If P(2, 1) and Q(8, 1) are two of the vertices of a rectangle, which of the following could not be another of the vertices?

Maths / Geometry MCQs — Multiple-choice practice

  1. A. (8, 2)
  2. B. (-2, 8)
  3. C. (2, 8)
  4. D. (2, -8)

Correct answer

(-2, 8)

Explanation

Explanation Given points P(2,1) and Q(8,1) lie on the same horizontal line (same y = 1) So, any valid rectangle vertex must form a right angle and match in x or y. Check options: - A) (2, 8) → shares x with P → possible - B) (8, 2) → shares x with Q but different y → possible - C) (2, -8) → shares x with P → possible - D) (-2, 8) → does not share x or y with either point → cannot form right angle with both

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