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9th Class Mathematics Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    In the given figure, \[\Delta ABC\]and \[\Delta DEF\]are such that\[AB=DE,\,BC=EF,\]and BC//EF. What is ADFC?

    A)  A square                      

    B)         A rectangle            

    C)         A parallelogram            

    D)         A rhombus

    Correct Answer: C

    Solution :

    Given \[AB=DE\]and \[AB//DE\] \[\Rightarrow \]ABED is a parallelogram. \[\therefore \]\[BE||AD\]and \[BE=AD\]                .?.(i) Given \[BC=EF\]and \[BC//EF\] \[\Rightarrow \]BEFC is a parallelogram. \[\therefore \]\[BE//CF\]and \[BE=CF\]                   ?..(ii) From (i) and (ii), we get \[AD//CE\]and \[AD=CF\] \[\therefore \]\[ADFC\]is a parallelogram.


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