Question

In the given figure, seg AB ≅ seg DC, ∠ABC ≅ ∠DCB show that : ∆ABC ≅ ∆DCB. Also write the remaining congruent parts.

Answer 1

Answer:

Step-by-step explanation:

GIVEN: AB = DC , ∠ABC = ∠DCB

TO PROVE:Δ ABC ≅ ΔDCB

PROOF: IN ΔABC AND ΔDCB

                   AB     =     DC    {GIVEN}

               ∠ABC    =    ∠DCB  {GIVEN}

                  BC      =     BC {COMMON SIDE}

THEREFORE, ΔABC ≅ ΔDCB {BY SAS CONGURENCY RULE}

                           AC  =  BD  { BY CPCT}

                      ∠ BAC  =  CDB { BY CPCT}

                         ∠ ACB =  ∠  DBC {BY CPCT}

HOPE,THIS WILL HELP YOU