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8th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio 3:7:6:4, then PQRS is a

    A) Rhombus                    

    B) parallelogram

    C) Trapezium                  

    D) kite

    Correct Answer: C

    Solution :

    Let the angles be 3x, 7x, 6x and 4x. \[{{360}^{o}}\] \[AB||DC\]or \[AB||DC,AD||BC\]or \[AB=CD,AD=BC\] The angles are \[OA=OC,OB=OD\] We see that adjacent angles are supplementary but opposite angles are not equal. Clearly, it is a trapezium.


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