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Quadrilaterals — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSQuadrilaterals1 Mark
Question
Assertion and Reason Type MCQ
Assertion: BCD is a quadrilateral in which P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. Then, PQRS is a parallelogram.
Reason: The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it.
  1. Both Assertion (A) and Reason (R) are true and Reason is a correct explanation of Assertion (A).
  2. Both Assertion (A) and Reason (R) are true but Reason is not a correct explanation of Assertio (A).
  3. Assertion (A) is true and Reason (R) is false.
  4. Assertion (A) is false and Reason (R) is true.
✓

Answer

  1. Both Assertion (A) and Reason (R) are true and Reason is a correct explanation of Assertion (A).
    Solution:

    ABCD is a quadrilateral in which P, Q, R and S are the mid-points of AB, BC, CD and DA respectively.
    Then, PQRS is a parallelogram.
    The Assertion (A) is true.
    The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it.

    The Reason (R) is true and is the correct explanation for the Assertion (A)

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