Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 26 May 2017, 15:18

### GMAT 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

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

Practice
Pays

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the figure above, QRS is a straight line and line TR

Author Message
TAGS:

### Hide Tags

Manager
Joined: 04 Aug 2011
Posts: 51
Followers: 0

Kudos [?]: 28 [0], given: 0

In the figure above, QRS is a straight line and line TR [#permalink]

### Show Tags

06 Aug 2011, 04:46
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

17% (01:25) correct 83% (00:00) wrong based on 12 sessions

### HideShow timer Statistics

In the figure above, QRS is a straight line and line TR bisects PRS, Is it true that lines TR and PQ are parallel?

(1) PQ=PR (2) QR=PR

pls see the picture attached
[Reveal] Spoiler: OA

Attachments

File comment: See attached

123.jpg [ 12.66 KiB | Viewed 2200 times ]

Manager
Joined: 14 Mar 2011
Posts: 203
Followers: 6

Kudos [?]: 122 [0], given: 21

Re: A math problem, pls help to solve it ... [#permalink]

### Show Tags

06 Aug 2011, 18:25
To prove that both lines are parallel we need to prove that angle PQR is equal to angle TRS.

statement 1 says)PQ=PR , so angle PQR and angle PRQ are equal. let them be equal to x. Then angle QPR = 180-2x and exterior angle PRS = x+ 180 -2x , so angle PRS = 180-x. TR is bisector of angle angle PRS so angle TRS = half of angle PRS. so angle TRS - 90 -x/2. from this we cant conclude weather 90 -x/2 = x or not. so insufficient.

statement 2 says QR=PR, so angle angle PQR = angle QPR, AND FROM PROPERTY OF EXTERIOR ANGLE =SUM OF TWO INTERIOR ANGLE WE KNOW. angle PRS = angle PQR +angle QPR . so angle TRS = half of angle PRS = angle PQR. so suffiecient. both lines are parallel.

Re: A math problem, pls help to solve it ...   [#permalink] 06 Aug 2011, 18:25
Similar topics Replies Last post
Similar
Topics:
4 In the xy-plane, the straight-line graphs of the three equations above 5 22 Jan 2017, 15:51
27 In the xy-plane, the straight-line graphs of the three equations above 5 30 Apr 2017, 23:51
9 In the figure above, two lines are tangent to a circle at points A and 12 24 Mar 2016, 18:29
1 In the figure above, if PR is a line segment, what is the sum of the 3 23 Dec 2014, 02:00
13 In the figure above, QRS is a straight line and QR = PR. Is 7 22 Dec 2015, 04:29
Display posts from previous: Sort by