A quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel.prove it
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Step-by-step explanation:
make a quad. ABCD and join a2c
in which given that ABCD is quad
where AB//CD and AB=CD
to prove= ABCD is a //gm
proof= Given AB// CD
with transversal AC....(alternate angle1)
In triangle ADC and CBA
Ab=CD(given)
angle BCA=DCA.......(equations 1)
AC=CA(common)
ADC congruent triangle CBA ..(SAS rule)
DA =BC ...(cpct)
in ABCD
both pair of opposite sides are equal
ABCD is a parallelogram
hence prooved
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