GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Oct 2018, 03:43

Close

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
Your Progress

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

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

Close

Request Expert Reply

Confirm Cancel

Line segments AB and CD are of equal length and perpendicula

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior Manager
Senior Manager
avatar
Joined: 15 Aug 2013
Posts: 251
Line segments AB and CD are of equal length and perpendicula  [#permalink]

Show Tags

New post Updated on: 15 Sep 2013, 12:44
1
3
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:59) correct 12% (01:11) wrong based on 173 sessions

HideShow timer Statistics

Line segments AB and CD are of equal length and perpendicular bisectors of one another. If a line segment is drawn connecting point A to point C, what is the measure of angle ACD?

A. 0°
B. 45°
C. 60°
D. 90°
E. 180

How can we assume that it's a 45.45.90 and not a 30.60.90? Latter would create ambiguity b/w choosing 30 or 60?

Originally posted by russ9 on 15 Sep 2013, 12:33.
Last edited by Bunuel on 15 Sep 2013, 12:44, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49965
Re: Line segments AB and CD are of equal length and perpendicula  [#permalink]

Show Tags

New post 15 Sep 2013, 12:51
russ9 wrote:
Line segments AB and CD are of equal length and perpendicular bisectors of one another. If a line segment is drawn connecting point A to point C, what is the measure of angle ACD?

A. 0°
B. 45°
C. 60°
D. 90°
E. 180

How can we assume that it's a 45.45.90 and not a 30.60.90? Latter would create ambiguity b/w choosing 30 or 60?


A perpendicular bisector is a line which cuts a line segment into two equal parts at 90°.

Look at the diagram below:
Attachment:
perpendicular.png
perpendicular.png [ 1.96 KiB | Viewed 9136 times ]
Angle ACD = 45°.

Answer: B.

Hope it's clear.
_________________

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8374
Premium Member
Re: Line segments AB and CD are of equal length and perpendicula  [#permalink]

Show Tags

New post 21 Apr 2018, 20:28
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Line segments AB and CD are of equal length and perpendicula &nbs [#permalink] 21 Apr 2018, 20:28
Display posts from previous: Sort by

Line segments AB and CD are of equal length and perpendicula

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.