MathematicsState true or false:If AB=QR,BC=RP   and CA=PQ,   then ΔCBA≅ΔPRQ  .

State true or false:


If AB=QR,BC=RP   and CA=PQ,   then ΔCBAΔPRQ  .


  1. A
    True
  2. B
    False 

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    Solution:

    Given,
    AB=QR,BC=RP  , CA=PQ  
    Using given data to create figure,
    SSS (side-side-side): Under a given correspondence, two triangles are congruent if the three sides of one triangle are equal to the three corresponding sides of the other.
    In ΔCBA and ΔPRQ,  
    AB=QR   Given BC=RP   Given CA=PQ   Given   Therefore, by SSS test,
    ΔCBAΔPRQ  
    Hence, the given statement is true.
    Hence, option (1) is correct.
     
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