Question

abcd is parallelogram ac is diagonal. P.T ∆abc is congruent ∆adc​

Answer 1

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Answer 2

Given : ABCD is a parallelogram. AC is a

diagonal.

To prove : ∆ABC and ∆ADC are congruent.

Proof : In parallelogram ABCD,

• Angle BAC = Angle ACD

• Angle DAC = Angle ACB

Reason : Alternate Angles.

( AB||CD and CB||AD)

• AC = CA

Reason : Common side.

Therefore,

∆ABC and ∆ADC are congruent.

According to ASA Congruency Rule.

Hope it helps ✌️