BIGDOG96
Prove that the opposite angles of a parallelogram are congruent.
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BIGDOG96
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BIGDOG96
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Can anyone help?
mayankdevnani
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Well, that's a property of parallelograms.
mayankdevnani
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But if you must prove it, I say you draw a diagonal from one angle to the opposite one, and then prove that the two triangles formed are congruent, since their three sides have the same length.
mayankdevnani
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After that, just prove that the opposite angles are congruent because correspondent angles on congruent triangles are congruent..
@BIGDOG96
jiteshmeghwal9
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|dw:1347976457702:dw|
jiteshmeghwal9
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so here through this congruency it is proved that opposite angles of a parallelogram are always equal.
BIGDOG96
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Thanks
jiteshmeghwal9
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yw :)
mayankdevnani
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welcome...
BIGDOG96
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I get it better with the pic
BIGDOG96
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Is there anyway you could write out the steps, they kinda got chopped off. @jiteshmeghwal9
jiteshmeghwal9
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yes!
jiteshmeghwal9
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write my first & second replies
jiteshmeghwal9
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cleanly,in ur note-book
jiteshmeghwal9
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they are the steps :)
BIGDOG96
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Is any of that missing?
BIGDOG96
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Is this right?
First draw two bisectors in the parallelogram. So, here is a parallelogram namely ABCD.
angle 5 = angle 4 alternate interior angles congruency.
1 - 2 - angle 6 = angle 3 alternate interior angles congruency.
3 -angle 1 = angle 8 alternate interior angle congruency.
4 - angle 2 = angle 7 alternate interior angle congruency.
jiteshmeghwal9
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yes!
BIGDOG96
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Okay thanks. Can you help with another one?
jiteshmeghwal9
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Hmm! if the question is not same then i will help you because i have cleared ur concept :)
jiteshmeghwal9
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in this type of question
BIGDOG96
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Will you check my work?
jiteshmeghwal9
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ok!