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OpenSessame

Question about coordinate geometry!

  • 8 months ago
  • 8 months ago

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  1. OpenSessame
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    Prove using coordinate geometry: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. You are given a line segment (AB) and a perpendicular line segment (CD).

    • 8 months ago
  2. OpenSessame
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    @BangkokGarrett Can you help?

    • 8 months ago
  3. BangkokGarrett
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    I don't know how to draw on here. Answering geometry questions without being able to draw like this is hard on this website for me. Sorry!

    • 8 months ago
  4. OpenSessame
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    Theres a draw button...

    • 8 months ago
  5. BangkokGarrett
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    |dw:1376019437389:dw|

    • 8 months ago
  6. OpenSessame
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    LOL

    • 8 months ago
  7. BangkokGarrett
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    Sorry. I still don't know really how to answer your original question. It seems kinda common sense that the statement is true.

    • 8 months ago
  8. OpenSessame
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    i KNOW. Can you see what i wrote and see if its right?

    • 8 months ago
  9. BangkokGarrett
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    I don't see what you wrote?!?

    • 8 months ago
  10. OpenSessame
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    In the triangle ADC and BDC, AD and BD are congruent because D is the midpoint of the segment AB. Also the side DC is common in both the triangles. This mean that angle CDA and angle CDB are both 90 degrees meaning they are congruent. This means the triangles are congruent because of the postulate Side-Angle-Side. So since the triangles are congruent, the distance from the two endpoints have to be equal.

    • 8 months ago
  11. BangkokGarrett
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    CDA and CDB are both 90 by the definition of "perpendicular" in the given. Otherwise sounds great!

    • 8 months ago
  12. OpenSessame
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    It does, because in doing test makeup and they counted it all wrong...

    • 8 months ago
  13. BangkokGarrett
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    Geometry teachers can get all uptight about the exact way you state theorems and such. This type of thing annoys me if you ask me. I'd give you 100% because you obviously understand the concepts.

    • 8 months ago
  14. OpenSessame
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    Thanks still have a 92 in geo so im okay!

    • 8 months ago
  15. BangkokGarrett
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    Good luck!

    • 8 months ago
  16. OpenSessame
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    thanks!

    • 8 months ago
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