Question

Prove that diagonal of llgm
divide it in two congreceat treagles​

Answer 1

Answer:

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Step-by-step explanation:

Each diagonal of a parallelogram divides it into two congruent triangles.

Let us consider a parallelogram ABCD where AB | CD and AD II BC.

Join AC.

In AABC and ACDA, we have

DCA = BAC

[Alternate angles]

DAC = ACB

[Alternate angles]

AC=CA

[Common)

:: ABC=CDA

[ASA congruency]

Similarly, by drawing the other diagonal BD, we can prove that AABD = ACDB.