HelloKitty17
  • HelloKitty17
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
Mathematics
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schrodinger
  • schrodinger
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HelloKitty17
  • HelloKitty17
@KAKES1967 @mathmate @thomaster
HelloKitty17
  • HelloKitty17
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HelloKitty17
  • HelloKitty17
@gigi1103

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imqwerty
  • imqwerty
what do u think she will get on joining the points 1 - 2 - 3 -4 :)|dw:1442241380727:dw|
HelloKitty17
  • HelloKitty17
A regular Hexagon?
imqwerty
  • imqwerty
|dw:1442241736332:dw| how many sides does the figure formed by joining the points 1,2,3,4 has?
HelloKitty17
  • HelloKitty17
4
HelloKitty17
  • HelloKitty17
it would be a regular pentagon then!
imqwerty
  • imqwerty
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
mathmate
  • mathmate
@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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