Chord of a Circle [closed]












0












$begingroup$


Simple question regarding chords in a circle.



Is the midpoint of a circle's chord always perpendicular to the circle's centre?






geometry circle







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closed as off-topic by Saad, Abcd, Cesareo, Daniel McLaury, John Bentin Jan 6 at 19:37


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Abcd, Cesareo

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 3




    $begingroup$
    A point cannot be perpendicular to anything. The perpendicular bisector of a chord indeed always passes through the circle's center, though.
    $endgroup$
    – David G. Stork
    Jan 6 at 7:51






  • 1




    $begingroup$
    What do you mean by a point being perpendicular to another point?
    $endgroup$
    – Anurag A
    Jan 6 at 7:51
















0












$begingroup$


Simple question regarding chords in a circle.



Is the midpoint of a circle's chord always perpendicular to the circle's centre?






geometry circle







share|cite|improve this question











$endgroup$



closed as off-topic by Saad, Abcd, Cesareo, Daniel McLaury, John Bentin Jan 6 at 19:37


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Abcd, Cesareo

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 3




    $begingroup$
    A point cannot be perpendicular to anything. The perpendicular bisector of a chord indeed always passes through the circle's center, though.
    $endgroup$
    – David G. Stork
    Jan 6 at 7:51






  • 1




    $begingroup$
    What do you mean by a point being perpendicular to another point?
    $endgroup$
    – Anurag A
    Jan 6 at 7:51














0












0








0





$begingroup$


Simple question regarding chords in a circle.



Is the midpoint of a circle's chord always perpendicular to the circle's centre?






geometry circle







share|cite|improve this question











$endgroup$




Simple question regarding chords in a circle.



Is the midpoint of a circle's chord always perpendicular to the circle's centre?






geometry circle




geometry circle






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 6 at 10:01









Michael Rozenberg

107k1894199




107k1894199










asked Jan 6 at 7:49









nicknick

334




334




closed as off-topic by Saad, Abcd, Cesareo, Daniel McLaury, John Bentin Jan 6 at 19:37


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Abcd, Cesareo

If this question can be reworded to fit the rules in the help center, please edit the question.







closed as off-topic by Saad, Abcd, Cesareo, Daniel McLaury, John Bentin Jan 6 at 19:37


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Abcd, Cesareo

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 3




    $begingroup$
    A point cannot be perpendicular to anything. The perpendicular bisector of a chord indeed always passes through the circle's center, though.
    $endgroup$
    – David G. Stork
    Jan 6 at 7:51






  • 1




    $begingroup$
    What do you mean by a point being perpendicular to another point?
    $endgroup$
    – Anurag A
    Jan 6 at 7:51














  • 3




    $begingroup$
    A point cannot be perpendicular to anything. The perpendicular bisector of a chord indeed always passes through the circle's center, though.
    $endgroup$
    – David G. Stork
    Jan 6 at 7:51






  • 1




    $begingroup$
    What do you mean by a point being perpendicular to another point?
    $endgroup$
    – Anurag A
    Jan 6 at 7:51








3




3




$begingroup$
A point cannot be perpendicular to anything. The perpendicular bisector of a chord indeed always passes through the circle's center, though.
$endgroup$
– David G. Stork
Jan 6 at 7:51




$begingroup$
A point cannot be perpendicular to anything. The perpendicular bisector of a chord indeed always passes through the circle's center, though.
$endgroup$
– David G. Stork
Jan 6 at 7:51




1




1




$begingroup$
What do you mean by a point being perpendicular to another point?
$endgroup$
– Anurag A
Jan 6 at 7:51




$begingroup$
What do you mean by a point being perpendicular to another point?
$endgroup$
– Anurag A
Jan 6 at 7:51










2 Answers
2






active

oldest

votes


















1












$begingroup$

The theorem says that: Any line drawn from the center that bisects a chord is perpendicular to the chord. Your statement is missing the word "line" and also it will be perpendicular to the chord instead of circle's centre.



Hope this helps.






share|cite|improve this answer









$endgroup$





















    1












    $begingroup$

    Let $AB$ be our chord with midpoint $M$ and $O$ be the center of the circle.



    If your question is "Is $OMperp AB$ true?" so the answer is "no".



    For the counterexample take $AB$ is a diameter of the circle and take another diameter, which is not perpendicular to $AB$.



    If our chord $AB$ is not diameter of the circle so $OMperp AB$, of course.






    share|cite|improve this answer









    $endgroup$




















      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      1












      $begingroup$

      The theorem says that: Any line drawn from the center that bisects a chord is perpendicular to the chord. Your statement is missing the word "line" and also it will be perpendicular to the chord instead of circle's centre.



      Hope this helps.






      share|cite|improve this answer









      $endgroup$


















        1












        $begingroup$

        The theorem says that: Any line drawn from the center that bisects a chord is perpendicular to the chord. Your statement is missing the word "line" and also it will be perpendicular to the chord instead of circle's centre.



        Hope this helps.






        share|cite|improve this answer









        $endgroup$
















          1












          1








          1





          $begingroup$

          The theorem says that: Any line drawn from the center that bisects a chord is perpendicular to the chord. Your statement is missing the word "line" and also it will be perpendicular to the chord instead of circle's centre.



          Hope this helps.






          share|cite|improve this answer









          $endgroup$



          The theorem says that: Any line drawn from the center that bisects a chord is perpendicular to the chord. Your statement is missing the word "line" and also it will be perpendicular to the chord instead of circle's centre.



          Hope this helps.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Jan 6 at 7:57







          user629353






























              1












              $begingroup$

              Let $AB$ be our chord with midpoint $M$ and $O$ be the center of the circle.



              If your question is "Is $OMperp AB$ true?" so the answer is "no".



              For the counterexample take $AB$ is a diameter of the circle and take another diameter, which is not perpendicular to $AB$.



              If our chord $AB$ is not diameter of the circle so $OMperp AB$, of course.






              share|cite|improve this answer









              $endgroup$


















                1












                $begingroup$

                Let $AB$ be our chord with midpoint $M$ and $O$ be the center of the circle.



                If your question is "Is $OMperp AB$ true?" so the answer is "no".



                For the counterexample take $AB$ is a diameter of the circle and take another diameter, which is not perpendicular to $AB$.



                If our chord $AB$ is not diameter of the circle so $OMperp AB$, of course.






                share|cite|improve this answer









                $endgroup$
















                  1












                  1








                  1





                  $begingroup$

                  Let $AB$ be our chord with midpoint $M$ and $O$ be the center of the circle.



                  If your question is "Is $OMperp AB$ true?" so the answer is "no".



                  For the counterexample take $AB$ is a diameter of the circle and take another diameter, which is not perpendicular to $AB$.



                  If our chord $AB$ is not diameter of the circle so $OMperp AB$, of course.






                  share|cite|improve this answer









                  $endgroup$



                  Let $AB$ be our chord with midpoint $M$ and $O$ be the center of the circle.



                  If your question is "Is $OMperp AB$ true?" so the answer is "no".



                  For the counterexample take $AB$ is a diameter of the circle and take another diameter, which is not perpendicular to $AB$.



                  If our chord $AB$ is not diameter of the circle so $OMperp AB$, of course.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Jan 6 at 9:08









                  Michael RozenbergMichael Rozenberg

                  107k1894199




                  107k1894199















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