ABCD is a quadrilateral in which AD=BC and angle DAB= angle CBA. prove that: 1) triangle ABD ~= triangle BAC (2) BD=AC (3) angle ABD=angle BAC.
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given:AD=BC
angleDAB=angleCBA
to prove:triangleABD congurent. triangleBAC
:BD=AC
:angleABD=angleBAC
proof:AD=BC (given)
DAB=CBA (given)
AB=AB (common)
therefore triangleABD congurent triangleBAC
BD=AC (cpct)
angleABD=angleBAC (cpct)
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