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# If the diagonals of rectangle ABCD (AB>BC ) cross at point E

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Joined: 16 Apr 2009
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If the diagonals of rectangle ABCD (AB>BC ) cross at point E  [#permalink]

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Updated on: 22 Nov 2013, 00:31
8
00:00

Difficulty:

35% (medium)

Question Stats:

75% (01:41) correct 25% (01:49) wrong based on 248 sessions

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If the diagonals of rectangle ABCD ($$AB \gt BC$$ ) cross at point E, what is the value of $$\angle AEB$$ ?

(1) The value of $$\angle EDC$$ is 15 degrees
(2) The value of $$\angle ACB$$ is 75 degrees

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Originally posted by ichha148 on 26 Sep 2010, 19:19.
Last edited by Bunuel on 22 Nov 2013, 00:31, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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Re: Diagonals of Rectangle  [#permalink]

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26 Sep 2010, 19:47
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Re: Diagonals of Rectangle  [#permalink]

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17 Feb 2014, 22:57
geturdream wrote:
150

I read some where that.. diagonal breaks the angle in two half..

ACD is 90.. so will ECD be not 45?
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Re: Diagonals of Rectangle  [#permalink]

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18 Feb 2014, 00:10
sanjoo wrote:
geturdream wrote:
150

I read some where that.. diagonal breaks the angle in two half..

ACD is 90.. so will ECD be not 45?

No. The diagonal of a square bisects the angle but not all rectangles are squares.
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Re: Diagonals of Rectangle  [#permalink]

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18 Feb 2014, 04:15
Bunuel wrote:
sanjoo wrote:
geturdream wrote:
150

I read some where that.. diagonal breaks the angle in two half..

ACD is 90.. so will ECD be not 45?

No. The diagonal of a square bisects the angle but not all rectangles are squares.

Ok thanks bunuel..

bt is it true that diagonal of rectangle are same?

ae=be? and DE=CE? m i rite? and same with diagonal of square
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Re: Diagonals of Rectangle  [#permalink]

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18 Feb 2014, 23:57
sanjoo wrote:
Bunuel wrote:
sanjoo wrote:

No. The diagonal of a square bisects the angle but not all rectangles are squares.

Ok thanks bunuel..

bt is it true that diagonal of rectangle are same?

ae=be? and DE=CE? m i rite? and same with diagonal of square

Yes, the diagonals of a rectangle are equal in lengths.
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Re: If the diagonals of rectangle ABCD (AB>BC ) cross at point E  [#permalink]

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25 Jun 2014, 05:57
Hi Bunuel,

Thanks for the reply. I am a big fan of yours!!

however, i have a question here. We know that diagonals of a rectangle donot bisect each other. If that is the case , then why the length EC and EB are similar in this case.

They could be different and hence the value of angle EBC can be different.

Please let me know if there is something wrong in my understanding here.
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Re: If the diagonals of rectangle ABCD (AB>BC ) cross at point E  [#permalink]

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25 Jun 2014, 06:27
1
dennis14 wrote:
Hi Bunuel,

Thanks for the reply. I am a big fan of yours!!

however, i have a question here. We know that diagonals of a rectangle donot bisect each other. If that is the case , then why the length EC and EB are similar in this case.

They could be different and hence the value of angle EBC can be different.

Please let me know if there is something wrong in my understanding here.

The diagonal of a rectangle DO bisect each other, they cut each other in half. But the diagonal does NOT bisect the angle it's originated from.
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Re: If the diagonals of rectangle ABCD (AB>BC ) cross at point E  [#permalink]

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19 Dec 2015, 22:31
A rectangle is an almost perfect figure (except the opposite sides are unequal)

Any change in the rectangle that divides things into equal proportion will do so all across.

Each statement alone is sufficient.
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Re: If the diagonals of rectangle ABCD (AB>BC ) cross at point E  [#permalink]

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10 Jul 2018, 05:48
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Re: If the diagonals of rectangle ABCD (AB>BC ) cross at point E &nbs [#permalink] 10 Jul 2018, 05:48
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# If the diagonals of rectangle ABCD (AB>BC ) cross at point E

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