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digonal of a rectangle does not split 90 degree into half

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digonal of a rectangle does not split 90 degree into half [#permalink]

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New post 27 Sep 2017, 03:32
digonal of a rectangle does not split 90 degree into half but does the diagonal of the parallelogram split the angle int half? please help

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Re: digonal of a rectangle does not split 90 degree into half [#permalink]

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New post 27 Sep 2017, 03:43
anik2000 wrote:
digonal of a rectangle does not split 90 degree into half but does the diagonal of the parallelogram split the angle int half? please help


The answer is no. Diagonals of a parallelogram bisect its angles only if it is a rhombus, so only if all four sides of the parallelogram are equal.
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Re: digonal of a rectangle does not split 90 degree into half [#permalink]

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New post 27 Sep 2017, 03:46
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anik2000 wrote:
digonal of a rectangle does not split 90 degree into half but does the diagonal of the parallelogram split the angle int half? please help



A rectangle is a special parallelogram (such that angles are 90 degrees). All properties of a parallelogram will be applicable to a rectangle (and some extra ones will be applicable too).
Since the diagonal of a rectangle does not split the 90 degree angle into 45 degree angles each, same will be true for a parallelogram too.

On the other hand, the diagonal of a rhombus splits the angle (whatever it may be) into equals.
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digonal of a rectangle does not split 90 degree into half [#permalink]

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New post 27 Sep 2017, 04:48
VeritasPrepKarishma wrote:
anik2000 wrote:
digonal of a rectangle does not split 90 degree into half but does the diagonal of the parallelogram split the angle int half? please help



A rectangle is a special parallelogram (such that angles are 90 degrees). All properties of a parallelogram will be applicable to a rectangle (and some extra ones will be applicable too).
Since the diagonal of a rectangle does not split the 90 degree angle into 45 degree angles each, same will be true for a parallelogram too.

On the other hand, the diagonal of a rhombus splits the angle (whatever it may be) into equals.

thanx , and for this reason this parallelogram is actually a rhombus . I am attaching the picture.its GMAT OG 2016, NO 139. where can I find this type of special feature all for geometry?
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Re: digonal of a rectangle does not split 90 degree into half [#permalink]

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New post 27 Sep 2017, 04:57
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anik2000 wrote:
VeritasPrepKarishma wrote:
anik2000 wrote:
digonal of a rectangle does not split 90 degree into half but does the diagonal of the parallelogram split the angle int half? please help



A rectangle is a special parallelogram (such that angles are 90 degrees). All properties of a parallelogram will be applicable to a rectangle (and some extra ones will be applicable too).
Since the diagonal of a rectangle does not split the 90 degree angle into 45 degree angles each, same will be true for a parallelogram too.

On the other hand, the diagonal of a rhombus splits the angle (whatever it may be) into equals.

thanx , and for this reason this parallelogram is actually a rhombus . I am attaching the picture.its GMAT OG 2016, NO 139. where can I find this type of special feature all for geometry?


Basics to Brush-Up Fundamentals




23. Geometry




24. Coordinate Geometry




25. Triangles




26. Polygons




27. Circles




28. Rectangular Solids and Cylinders




29. Graphs and Illustrations




For more check Ultimate GMAT Quantitative Megathread
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128929 [1], given: 12183

Re: digonal of a rectangle does not split 90 degree into half   [#permalink] 27 Sep 2017, 04:57
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