Aug 23 08:00 PM PDT  10:00 PM PDT Get Magoosh's App for Free Questions, Free Video lessons, and more. Aug 25 09:00 PM PDT  10:00 PM PDT Target Test Prep is giving 10 lucky winners 4 months of FREE access to our toprated GRE Quant course. Our giveaway contest is open for 10 days only, so enter today for your chance to levelup your prep! Aug 26 08:00 PM PDT  09:00 PM PDT We have a growing team of trained online experts, but much of our online GRE tutoring is delivered by a true GRE expert, MyGuru's Director of Online Tutoring, Stefan. Aug 26 08:00 PM PDT  11:00 PM PDT Learn how to evaluate your profile, skills, and experiences to determine if, when, and where you should apply to graduate school. Aug 28 08:00 PM PDT  11:00 PM PDT Free Video Modules Within each of the 16 learning modules (Geometry, Statistics, Sentence Equivalence, etc.) that comprise the course, you'll find plenty of free videos to help you make an informed purchase. Aug 30 08:00 PM PDT  09:00 PM PDT 7+ POINT GRE SCORE IMPROVEMENT GUARANTEE Sep 01 08:00 PM PDT  09:30 PM PDT Whether you want to take a free practice test, attend a deepdive session about the test itself, or experience the power of live instruction, we’ve got you covered.
Author 
Message 
TAGS:


Founder
Joined: 18 Apr 2015
Posts: 7791
Followers: 145
Kudos [?]:
1597
[0], given: 7061

BD is parallel to AE. [#permalink]
02 Aug 2017, 08:31
Question Stats:
76% (00:47) correct
23% (00:34) wrong based on 84 sessions
Attachment:
#GREpracticequestion BD is parallel to AE..jpg [ 17.41 KiB  Viewed 1968 times ]
BD is parallel to AE.
Quantity A 
Quantity B 
xz 
wy 
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.
_________________
Get the 2 FREE GREPrepclub Tests




Intern
Joined: 28 Feb 2017
Posts: 7
Followers: 0
Kudos [?]:
2
[0], given: 3

Re: BD is parallel to AE. [#permalink]
23 Sep 2017, 18:54
Explain Please



Director
Joined: 20 Apr 2016
Posts: 963
WE: Engineering (Energy and Utilities)
Followers: 13
Kudos [?]:
747
[1]
, given: 158

Re: BD is parallel to AE. [#permalink]
23 Sep 2017, 20:23
1
This post received KUDOS
Pria wrote: Explain Please Here given BD is parallel to AE, so angle CBD = angle CAE, and angle BDC = angle AEC. Therefore the triangles BCD and ACE are similar (Angle C is common to both triangles and by AAA triangle BCD and triangle ACE are similar) Now it is given side BC = x , AB = y and AC =x+w. side CD = y, DE = z and CE = y+Z Now as both triangles BCD and ACE are similar therfore we have \(\frac{CB}{CA}\) = \(\frac{CD}{CE}\) substitute the values we get \(\frac{x}{(x+w)}\)= \(\frac{y}{(y+z)}\) or x(y+z) = y(x+w) or xy + xz = xy + wy or xz = wy. So option C.
_________________
If you found this post useful, please let me know by pressing the Kudos Button
Rules for Posting https://greprepclub.com/forum/rulesfor ... 1083.html



Intern
Joined: 28 Feb 2017
Posts: 7
Followers: 0
Kudos [?]:
2
[0], given: 3

Re: BD is parallel to AE. [#permalink]
24 Sep 2017, 07:36
Thank you.



Intern
Joined: 22 Sep 2017
Posts: 2
Followers: 0
Kudos [?]:
0
[0], given: 5

Re: BD is parallel to AE. [#permalink]
26 Sep 2017, 17:04
I don't understand. CA could be different length than CE
Can anyone explain? Thank you



Director
Joined: 20 Apr 2016
Posts: 963
WE: Engineering (Energy and Utilities)
Followers: 13
Kudos [?]:
747
[1]
, given: 158

Re: BD is parallel to AE. [#permalink]
26 Sep 2017, 20:48
1
This post received KUDOS
pclawong wrote: I don't understand. CA could be different length than CE
Can anyone explain? Thank you \(\frac{{CB}}{{CA}} = \frac{{CD}}{{CE}}\) because they are similar and the ratio's of there length has to be equal. CA= x+w (total length of CA, x & w are given) CE = y+z (total length of CE, y & z are given)
_________________
If you found this post useful, please let me know by pressing the Kudos Button
Rules for Posting https://greprepclub.com/forum/rulesfor ... 1083.html



Director
Joined: 09 Nov 2018
Posts: 509
Followers: 0
Kudos [?]:
39
[0], given: 1

Re: BD is parallel to AE. [#permalink]
12 Nov 2018, 18:59
pranab01 wrote: Pria wrote: Explain Please Here given BD is parallel to AE, so angle CBD = angle CAE, and angle BDC = angle AEC. Therefore the triangles BCD and ACE are similar (Angle C is common to both triangles and by AAA triangle BCD and triangle ACE are similar) Now it is given side BC = x , AB = y and AC =x+w. side CD = y, DE = z and CE = y+Z Now as both triangles BCD and ACE are similar therfore we have \(\frac{CB}{CA}\) = \(\frac{CD}{CE}\)substitute the values we get \(\frac{x}{(x+w)}\)= \(\frac{y}{(y+z)}\) or x(y+z) = y(x+w) or xy + xz = xy + wy or xz = wy. So option C. If you put the reason, it will be better If two triangles are similar, the ratio of their corresponding sides are equal.  Please let me know, if I am wrong.



Intern
Joined: 07 Jan 2019
Posts: 30
Followers: 0
Kudos [?]:
1
[0], given: 0

Re: BD is parallel to AE. [#permalink]
09 Jan 2019, 12:41
thank you



Director
Joined: 09 Nov 2018
Posts: 509
Followers: 0
Kudos [?]:
39
[0], given: 1

Re: BD is parallel to AE. [#permalink]
11 Jan 2019, 14:53
pclawong wrote: I don't understand. CA could be different length than CE
Can anyone explain? Thank you By maintaining ratio, any length is possible.



Intern
Joined: 27 Jan 2019
Posts: 26
Followers: 0
Kudos [?]:
21
[1]
, given: 3

Re: BD is parallel to AE. [#permalink]
09 May 2019, 04:02
1
This post received KUDOS
A line drawn parallel to a side of the triangle divides the two other sides proportionally. So x/w and y/z have the same ratio. Hence xz and wy are equal



Intern
Joined: 14 May 2019
Posts: 8
Followers: 0
Kudos [?]:
8
[2]
, given: 0

Re: BD is parallel to AE. [#permalink]
16 May 2019, 04:02
2
This post received KUDOS
Hi,
This is a question of proportionality of sides of two triangles that are similar. The larger and the smaller triangles are similar due to two common angles.
Here, x/w=y/z
So, xz=wy.
Hence, option (C) is the right answer.




Re: BD is parallel to AE.
[#permalink]
16 May 2019, 04:02





