alleryTwo opposite vertices of a parallelogram are at (4, 5) and (1, 3). The intersection of its diagonals lies at:
A(5, 8)
B(2.5, 4)
C(1.5, 1)
D(0, 0)
Answer & Solution
Correct answer: B. (2.5, 4)
1. The diagonals of a parallelogram bisect each other at their common midpoint.
2. Midpoint of the given diagonal = ((4 + 1)/2, (5 + 3)/2) = (2.5, 4).
3. So the intersection of the diagonals is at (2.5, 4).
4. The same midpoint must also be the midpoint of the other diagonal.
5. So the answer is (2.5, 4).
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 8-9 (pp 200-219, 2019 ed.)._
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