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The number of diagonals of the octagon that are parallel to

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The number of diagonals of the octagon that are parallel to [#permalink] New post 05 Mar 2017, 08:52
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72% (00:58) correct 27% (01:10) wrong based on 44 sessions


The figure below is a regular octagon. A diagonal of an octagon is any line segment connecting two nonadjacent vertices.

Attachment:
#GREpracticequestion The figure above is a regular octagon.jpg
#GREpracticequestion The figure above is a regular octagon.jpg [ 4.39 KiB | Viewed 3999 times ]


Quantity A
Quantity B
The number of diagonals of the octagon that are parallel to at least one side of the octagon
The number of diagonals of the octagon that are not parallel to any side of the octagon



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The number of diagonals of the octagon that are parallel to [#permalink] New post 11 Mar 2017, 17:04
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Explanation

Image

As you can see, diagonal 2 is parallel to side A and diagonal 4 is parallel to side B. So there are 2 diagonals parallel to at least one side and 3 diagonals (1, 3, and 5) that are not parallel to any side.

Every vertex of the octagon will produce 2 diagonals that are parallel to at least one side and 3 diagonals that are not parallel to any side.

Thus, Quantity B is greater.


[Reveal] Spoiler: Img
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Re: The number of diagonals of the octagon that are parallel to   [#permalink] 11 Mar 2017, 17:04
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The number of diagonals of the octagon that are parallel to

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