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9th Class Mathematics Quadrilaterals Question Bank Quadrilaterals

  • question_answer
                In the given figure, if ABCD is a rectangle and P, Q are the mid-points of AD, DC respectively. Then, the ratio of lengths PQ and AC is equal to

    A)  1 : 1                            

    B)         1 : 2                

    C)         2 : 1                            

    D)         3 : 2    

    Correct Answer: B

    Solution :

    In \[\Delta \Alpha CD,P\]and Q are mid-points of AD and DC. By mid-point theorem, \[PQ||AC\]and \[PQ=\frac{1}{2}AC\] \[\therefore \]      \[\frac{PQ}{AC}=\frac{1}{2}\] Now, \[PQ:AC=1:2\]


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