anonymous
  • anonymous
Write an indirect proof to show that the diagonals of a parallelogram bisect one another.
Mathematics
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anonymous
  • anonymous
Write an indirect proof to show that the diagonals of a parallelogram bisect one another.
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
I need to check my answer!
anonymous
  • anonymous
Let's assume that the diagonals of a parallelogram do not bisect one another. A parallelogram has four sides and it's opposite angles and sides are congruent and parallel. If it's opposite sides are parallel and congruent, and so are it's angles, then the diagonals of a parallelogram must intersect each other.
anonymous
  • anonymous

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anonymous
  • anonymous
P0sitr0n
  • P0sitr0n
Seems that here you are proving that they intersect and not that they bisect
anonymous
  • anonymous
What's the difference between intersection and bisection?
anonymous
  • anonymous
I thought they were the same. :/
P0sitr0n
  • P0sitr0n
so intersection is that two lines meet at the same point bisection is that they meet at the same point AND this point splits them in two equal segments
anonymous
  • anonymous
Wait, I think I remember, bisection means they cut eachothe rin halves
P0sitr0n
  • P0sitr0n
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anonymous
  • anonymous
Ahh, okay! I forgot completely.
P0sitr0n
  • P0sitr0n
But the start of your proof seemed reasonable, you should elaborate further
Loser66
  • Loser66
Remind: Should state that parallelogram is not a reflex quadrilateral, hence their diagonals intersect.
anonymous
  • anonymous
Thank you, I'm understanding better now. But do you think you could give me a hint to get started on when else I should be writing, please?
anonymous
  • anonymous
Is this one okay? Let's assume that the diagonals of a parallelogram do not bisect one another. A parallelogram has four sides and it's opposite angles and opposite sides are congruent and parallel. If the diagonals of a parallelogram intersect each other, and a parallelogram's opposite angles and opposite sides are congruent and parallel, then the intersecting diagonals must also be bisecting one another.
anonymous
  • anonymous

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