class 9th
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proof: ABCD Is A //gm.
AB//CD , AC Is A Transversal
Therefore, Angle BAC = Angle DCA (Alternate Interior Angle)
AD//BC , AC Is A Transversal
Therefore, Angle DAC = Angle ACB (Alternate Interior Angle)
∆ABC ∆ADC
Angle BAC = Angle DCA
Angle DAC = Angle ACB
AC = AC (Common Side)
Therefore, ∆ABC =~ ∆ADC (ASA Congruency Rule)
∆ABC Is Congruent To ∆ADC
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data :-ABCD is a parallelogram
to prove:-triangle ABD is congruent to triangle BCD
proof:-in triangle ABD and triangle BCD
AB=DC (opp sides are equal)
AD=BC (opp sides are equal)
BD=BD (common)
therefore ABDis congruent to BCD
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