Multiple Choice Questions on Let ABCD be a rectangle Let P Q R S be the mid points of sides AB BC CD DA respectively Then the qua........... for CDS Exam Preparation

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Multiple Choice Questions

Let ABCD be a rectangle Let P Q R S be the mid points of sides AB BC CD DA respectively Then the qua...........

Quantitative Aptitude (CDS) Mensuration 2D
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    Let ABCD be a rectangle. Let P, Q, R, S be the mid-points of sides AB, BC, CD, DA respectively. Then the quadrilateral PQRS is a

    Square

    Incorrect Answer

    Rectangle, but need not be a square

    Incorrect Answer

    Rhombus, but need not be a square

    Correct Answer

    Parallelogram, but need not be a rhombus

    Incorrect Answer
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    Explanation:


    PQ =1/2 AC, SR=1/2 AC [From Mid point theorem]
    Similarly,
    PS =1/2 BD,QR =1/2 BD
    So, BD = AC [Diagonal of rectangle]
    Thus, PQ = QR = RS = SP
    Hence, PQRS is a Rhombus but need not be a square.

    By: Munesh Kumari
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