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BIGDOG96

  • 3 years ago

Prove that the opposite angles of a parallelogram are congruent.

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  1. BIGDOG96
    • 3 years ago
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  2. BIGDOG96
    • 3 years ago
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    Can anyone help?

  3. mayankdevnani
    • 3 years ago
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    Well, that's a property of parallelograms.

  4. mayankdevnani
    • 3 years ago
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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.

  5. mayankdevnani
    • 3 years ago
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    After that, just prove that the opposite angles are congruent because correspondent angles on congruent triangles are congruent.. @BIGDOG96

  6. jiteshmeghwal9
    • 3 years ago
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    |dw:1347976457702:dw|

  7. jiteshmeghwal9
    • 3 years ago
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    so here through this congruency it is proved that opposite angles of a parallelogram are always equal.

  8. BIGDOG96
    • 3 years ago
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    Thanks

  9. jiteshmeghwal9
    • 3 years ago
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    yw :)

  10. mayankdevnani
    • 3 years ago
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    welcome...

  11. BIGDOG96
    • 3 years ago
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    I get it better with the pic

  12. BIGDOG96
    • 3 years ago
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    Is there anyway you could write out the steps, they kinda got chopped off. @jiteshmeghwal9

  13. jiteshmeghwal9
    • 3 years ago
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    yes!

  14. jiteshmeghwal9
    • 3 years ago
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    write my first & second replies

  15. jiteshmeghwal9
    • 3 years ago
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    cleanly,in ur note-book

  16. jiteshmeghwal9
    • 3 years ago
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    they are the steps :)

  17. BIGDOG96
    • 3 years ago
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    Is any of that missing?

  18. BIGDOG96
    • 3 years ago
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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.

  19. jiteshmeghwal9
    • 3 years ago
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    yes!

  20. BIGDOG96
    • 3 years ago
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    Okay thanks. Can you help with another one?

  21. jiteshmeghwal9
    • 3 years ago
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    Hmm! if the question is not same then i will help you because i have cleared ur concept :)

  22. jiteshmeghwal9
    • 3 years ago
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    in this type of question

  23. BIGDOG96
    • 3 years ago
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    Will you check my work?

  24. jiteshmeghwal9
    • 3 years ago
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    ok!

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