Question

prove that opposite side and angle of a parallelogram are equal​

Answer 1

ANSWER

R.E.F image

In triangle ADC and ABC,

∠DAC=∠ACB(AB∥CD and taking AC as transversal)

AC=AC (common)

∠DCA=∠BAC (AB∥CD taking AC as transversal)

By ASA criterion of concurrency triangle ADC is congruent to triangle ABC.

AD=BC

AB=CD

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