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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
DC vs AB
[#permalink]
26 Sep 2018, 15:15
26 Sep 2018, 15:15
Expert Reply
8
Bookmarks
00:00
Question Stats:
42% (01:42) correct
57% (01:35) wrong based on 130 sessions
Hide Show timer Statistics
Attachment:
Capture.JPG [ 13.23 KiB | Viewed 6765 times ]
Quantity A |
Quantity B |
DC |
AB |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
DC vs AB
[#permalink]
30 Sep 2018, 14:12
30 Sep 2018, 14:12
1
2
Bookmarks
sandy wrote:
Attachment:
Capture.JPG
Quantity A |
Quantity B |
DC |
AB |
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.
Since angles on a line must add to 180°, we know that ∠ABD + 2x = 180°
So, ∠ABD = 180° - 2x (see above)
Next, we'll let y = ∠ADB
Since angles in a triangle add to 180°, we can write: x + y + (180 - 2x) = 180°
Simplify: y - x + 180 = 180
Subtract 180 from both sides: y - x = 0
So, it must be the case that y = x
Since we now know that ∆ABD has two equal angles (each measuring x°), we know that side AB = side BD
Finally, since ∆BCD has two equal angles (each measuring 2x°), we know that side BD = side DC
We now know that AB = BD and BD = DC
So, we can write: AB = BD = DC, which means AB = DC
Answer: C
Cheers,
Brent
Re: DC vs AB
[#permalink]
21 May 2024, 16:22
21 May 2024, 16:22
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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.
Thanks to another GRE Prep 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.
