Last visit was: 22 Nov 2024, 05:08

It is currently 22 Nov 2024, 05:08

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more

Request Expert Reply

Confirm Cancel

PREVIOUS TOPIC

NEXT TOPIC

XY = YZ

Tags :

Find Similar Topics About Add a Tag

Show Tags

Hide Tags

sandy

Retired Moderator

Joined: 07 Jun 2014

Posts: 4812

Own Kudos [?]: 11194 [0]

Given Kudos: 0

GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

Send PM

XY = YZ [#permalink]

26 Sep 2018, 14:50

Expert Reply

00:00

Question Stats:

62% (00:31) correct

37% (00:41) wrong

based on 56 sessions

Hide Show timer Statistics

Attachment:

Capture.JPG [ 11.91 KiB | Viewed 6077 times ]

XY = YZ

Quantity A	Quantity B
The area of XWY	The area of YWZ

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.

Show Answer

Official Answer

C

B

amorphous

Retired Moderator

Joined: 07 Jan 2018

Posts: 739

Own Kudos [?]: 1448 [0]

Given Kudos: 93

Send PM

Re: XY = YZ [#permalink]

22 Oct 2018, 23:08

Given xy = yz
Therefore the two triangles in the question have the same base. Also they have the same height which is the perpendicular dropped from point w to the line xz
Hence they have the same area

Hovsep

Manager

Joined: 23 Oct 2018

Posts: 57

Own Kudos [?]: 0 [0]

Given Kudos: 0

Send PM

Re: XY = YZ [#permalink]

24 Oct 2018, 01:12

can you prove the explanation?

AE

Director

Joined: 09 Nov 2018

Posts: 505

Own Kudos [?]: 133 [0]

Given Kudos: 0

Send PM

Re: XY = YZ [#permalink]

11 Jan 2019, 21:29

Two triangle have same base and height. Hence they are equal.

chetan2u

Supreme Moderator

Joined: 01 Nov 2017

Posts: 371

Own Kudos [?]: 470 [0]

Given Kudos: 0

Send PM

Re: XY = YZ [#permalink]

11 Jan 2019, 22:36

Expert Reply

sandy wrote:

Attachment:

The attachment Capture.JPG is no longer available

XY = YZ

Quantity A	Quantity B
The area of XWY	The area of YWZ

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.

Look at the attached figure..
Draw a perpendicular from W to line XZ meeting at A
The area of XWY = \(\frac{1}{2}*XY*AW\)
The area of YWZ = \(\frac{1}{2}*ZY*AW\)... now ZY=AW...
Therefore, the area of YWZ = \(\frac{1}{2}*ZY*AW\)=\(\frac{1}{2}*XY*AW\)=area of XWY

C

Attachments

Capture1.JPG [ 14.61 KiB | Viewed 5805 times ]