Prove that Diagonal of a parallelogram divides it into two congruent triangle?
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Step-by-step explanation:
In parallelogram ABCD,
Angle A = Angle C .......(since opp. angles of a llgm are equal) .....1
Similarly , Angle B = Angle D
Construct a diagnal BD
Now , angle ABD = angle BDC ...(diagnols bisect the angles of a llgm).....2
Side AD = side BC....(opp. sides of llgm are equal)..3
From 1, 2, 3
By ASA congruency rule
triangle ABD = triangle BDC
. HENCE PROVED
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