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Math: Polygons

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New post 23 Dec 2012, 13:17
just a suggestion, adding kite properties to the first post will be helpful for others...
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New post 28 Dec 2012, 07:31
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New post 10 Jul 2013, 23:06
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New post 16 Nov 2014, 14:43
[quote="Bunuel"]POLYGONS
--------------------------------------------------------

A square is both a rhombus (equal sides) and a rectangle (equal angles) and therefore has all the properties of both these shapes, namely:
The diagonals of a square bisect each other.
• The diagonals of a square bisect its angles.
• The diagonals of a square are perpendicular.
• Opposite sides of a square are both parallel and equal.
• All four angles of a square are equal. (Each is 360/4 = 90 degrees, so every angle of a square is a right angle.)
• The diagonals of a square are equal.

It might be worth clarifying that the diagonals of rhombi or rectangles do not bisect their respective angles. The above section could be mistaken to suggest so since you mention that the list of properties is derived from a combination of rectangle and rhombus properties..
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New post 28 Feb 2016, 08:37
Excellent Post.. Kudos +1

It would be awesome if there were practice questions with each section, on each topic. (free)
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New post 31 Aug 2016, 03:15
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Bunuel wrote:
POLYGONS

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I recently sat for the GMAT and got a couple of questions on parallelogram. What was being tested was knowledge of simple concepts and properties of some quadrilaterals. To my disgust, I had not revised the Quadrilateral properties before the exam and ended up answering both the questions wrong. I later realised that both the questions were very simple and could have been answered correctly if only I had remembered a few things about these polygons. In my attempt to pay back to GC, and to atone to my own sins :twisted: I have attached here a table and a Quadrilateral relations tree that you must must know before going for the exam. And this should suffice. All the best.
Attachments

Quadrilaterals.PNG
Quadrilaterals.PNG [ 43.53 KiB | Viewed 1333 times ]

Quad Tree.PNG
Quad Tree.PNG [ 26.37 KiB | Viewed 1347 times ]


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New post 09 Feb 2018, 06:10
Hi Bunuel, chetan2u

Can you please review the below points and add to the above post. Couldn't find anything related to angle bisector for the Quadrilaterals.

1. The Diagonals of Rhombus bisect the Angles.
2. The Diagonals of Rectangle don’t bisect the angles.
3. The Diagonals of Square bisect the Angles.
4. The Diagonals of Parallelogram don’t bisect the Angles.

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New post 09 Feb 2018, 06:30
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rahul16singh28 wrote:
Hi Bunuel, chetan2u

Can you please review the below points and add to the above post. Couldn't find anything related to angle bisector for the Quadrilaterals.

1. The Diagonals of Rhombus bisect the Angles.
2. The Diagonals of Rectangle (which is not a square) don’t bisect the angles.
3. The Diagonals of Square bisect the Angles.
4. The Diagonals of Parallelogram (which is not a rhombus) don’t bisect the Angles.


That's correct.

Check Properties of Polygons Questions from our Special Questions Directory.
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New post 24 Jul 2018, 23:39
Dear Bunuel,
I came across a question that goes "a square is inscribed in a regular octagon - perimeter of octagon is 8. Find area of square."
I have tried enough but just can't seem to crack this one - please do help!
Thanks a lot!
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Math: Polygons &nbs [#permalink] 24 Jul 2018, 23:39

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