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7th Class Mathematics Congruence of Triangles Question Bank Congruence of Triangles

  • question_answer
    In the given figure, \[\Delta \,ABC\] is congruent to \[\Delta \,PQR\]. What is the value of \[(m+2n+3p)\]

    A)  8                                

    B)  10          

    C)  17                              

    D)  19

    Correct Answer: D

    Solution :

    (d): \[\Delta \,\Alpha \Beta C\cong \Delta \,PQR\Rightarrow \,\,\,\overline{AB}=\overline{PQ},\,\,\,\overline{BC}=\overline{QR};\,\,\overline{CA}=\overline{Rp}\]\[\Rightarrow \,\,2m+1=5\Rightarrow m=2;\,\,\,\,2p+2=8\Rightarrow p=3;\,\] \[\,7=2n-1\Rightarrow n=4\] \[\Rightarrow m+2n+3p=2+8+9=19\]


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