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HelloKitty17

  • one year ago

Geometry Question Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she in the process of constructing? A circle is drawn with two arc markings above and below the diameter. An equilateral triangle A square A regular pentagon A regular hexagon

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  1. HelloKitty17
    • one year ago
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    @KAKES1967 @mathmate @thomaster

  2. HelloKitty17
    • one year ago
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  3. HelloKitty17
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    @gigi1103

  4. imqwerty
    • one year ago
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    what do u think she will get on joining the points 1 - 2 - 3 -4 :)|dw:1442241380727:dw|

  5. HelloKitty17
    • one year ago
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    A regular Hexagon?

  6. imqwerty
    • one year ago
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    |dw:1442241736332:dw| how many sides does the figure formed by joining the points 1,2,3,4 has?

  7. HelloKitty17
    • one year ago
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    4

  8. HelloKitty17
    • one year ago
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    it would be a regular pentagon then!

  9. imqwerty
    • one year ago
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    nd u can see that -|dw:1442241878543:dw| in this figure OA =OB=OC=OD=radius of circle =r lets say its r cm ok :) when u apply pythagorus theorem to triangle AOB u get- AO^2 + BO^2 = AB^2 r^2 + r^2=AB^2 2r^2=AB^2 \[AB=r \sqrt{2}\] similarly when u find BC, CD and DA you will find that they all are equal to AB :) so this figure has 4 equal sides and square is the only figure given in the options which has 4 sides so square is the answer

  10. mathmate
    • one year ago
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    @HelloKitty17 Perhaps the following link would help you understand the nomenclature (naming) of the polygons: http://mathcentral.uregina.ca/qq/database/QQ.09.96/rosa1.html

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