VERIFY EXPERIMENTALLY CRITERIA FOR CONGRUENCY OF TRIANGLES USING DIFFERENT TRIANGULAR CUT-OUT SHAPES.

Answer :

To verify experimentally criteria for congruency of triangle , we follow these steps  :

Step 1  :  Take a cardboard , any size ( as per your convenience ) , And paste white blank paper on that .

Step 2 :  Now Cut out from any color paper triangles ABC and DEF  , such that :  AB  =  DE  , BC  = EF  and AC  =  DF

So , ABC    DEF  ( by SSS rule )

Step 3 :  Now Cut out from any color paper triangles GHI and JKL  , such that :  H  =  K  , HI  = KL  and I  =  L .

So , GHI    JKL   ( by ASA rule )


Step 4 :  Now Cut out from any color paper triangles MNO and PQR  , such that : MN  =  PQ  , N  = Q  and  NO  =  QR .

So , MNO    PQR   ( by SAS rule )


Step 5 :  Now Cut out from any color paper triangles STU and XYZ  , such that : T  =  Y = 90°  , Hypotenuse SU = XZ  and  TU  =  YZ .

So , STU    XYZ   ( by RHS rule )


Step 6 :  Now Cut out from any color paper triangles SRV and HLM  , such that :  S  =  H ,  R  =  L and RV  = LM . 

So , SRV    HLM   ( by AAS rule )

That's how we verified experimentally the different criteria for congruency of triangles using triangle cut out  .

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