It is currently 21 Mar 2018, 11:48

### 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

# Chord Parallel to Diameter

Author Message
Intern
Joined: 13 Aug 2008
Posts: 17

### Show Tags

21 Sep 2008, 02:29
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

This is a vague doubt, but can someone please shed some light on this:
You have a circle with center O and diameter AB and a chord CD parallel to AB. (Draw the figure such that points A and C lie on the same side of the circle). Join OC and BC.
Is it true that the line segment BC will bisect angle OCD i.e. angle OCB = angle BCD?
SVP
Joined: 17 Jun 2008
Posts: 1504
Re: Chord Parallel to Diameter [#permalink]

### Show Tags

22 Sep 2008, 01:55
Yes.

The reason is that in your figure, OC = OB and hence, angle OCB = angle OBC.

Now, since AB and CD are parallel lines, angle OBC = angle BCD.

Thus, angle, BCD = angle OCB and chord BC bisects angle OCD.
Re: Chord Parallel to Diameter   [#permalink] 22 Sep 2008, 01:55
Display posts from previous: Sort by

# Chord Parallel to Diameter

Moderator: chetan2u

 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®.