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?
- (2, 8)
- (8, 2)
- (2, -8)
- (-2, 8)
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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