Math, asked by intelligentpriya, 7 months ago

4. M and N are points on opposite sides AD and BC of a parallelogram
ABCD such that MN passes through the point of intersection O of its
diagonals AC and BD. Show that MN is bisected at O.

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Answers

Answered by alok3917
1

Answer:

Consider △AOM and △CON

From the figure we know that ∠MAO and ∠OCN are alternate angles

∠MAO=∠OCN

we know that the diagonals of parallelogram bisect each other

AO=OC

∠AOM and ∠CON are vertically opposite angles

∠AOM=∠CON

By ASA congruence criterion

△AOM≅△CON

MO=NO (c.p.c.t)

therefore, it is proved that MN is bisected at O.

Answered by riyaasati
3

Answer:

hope it helps you to explain

Step-by-step explanation:

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