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 .
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 .