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 regular pentagon
A regular hexagon
Stacey Warren - Expert brainly.com
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what do u think she will get on joining the points 1 - 2 - 3 -4 :)|dw:1442241380727:dw|
A regular Hexagon?
|dw:1442241736332:dw| how many sides does the figure formed by joining the points 1,2,3,4 has?
it would be a regular pentagon then!
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
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
Perhaps the following link would help you understand the nomenclature (naming) of the polygons: