in the given figure , ab = bc , bx=by . show that ay=cx
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SSA CONGRUENCE
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Given \: AB = BC \: ---(1)GivenAB=BC−−−(1)
and \: BX = BY \: ---(2)andBX=BY−−−(2)
\underline { Proof}
Proof
AB = BCAB=BC
\implies AB - BX = BC - BX⟹AB−BX=BC−BX
\pink { ( If \: equals \:are \: subtracted \: from }(Ifequalsaresubtractedfrom
\pink { equals \: the \: remainders \:are \:equal)}equalstheremaindersareequal)
\implies AB - BX = BC - BY \: [ From \:(2)]⟹AB−BX=BC−BY[From(2)]
\implies AX = CY⟹AX=CY
Hence , ProvedHence,Proved
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Step-by-step explanation:
Explaination:=,=(given)
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