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.
In the figure, a, b, c, d, e, f, g, h, i, and j are chords o
[#permalink]
02 Oct 2018, 11:20
02 Oct 2018, 11:20
Expert Reply
00:00
Question Stats:
42% (00:29) correct
57% (01:46) wrong based on 14 sessions
Hide Show timer Statistics
Attachment:
circle.jpg [ 55.23 KiB | Viewed 4483 times ]
In the figure, a, b, c, d, e, f, g, h, i, and j are chords of the circle. Which two chords are parallel to each other?
(A) a and f
(B) b and g
(C) c and h
(D) d and i
(E) e and j
Re: In the figure, a, b, c, d, e, f, g, h, i, and j are chords o
[#permalink]
02 Oct 2018, 21:43
02 Oct 2018, 21:43
solution pls??
Re: In the figure, a, b, c, d, e, f, g, h, i, and j are chords o
[#permalink]
03 Oct 2018, 13:08
03 Oct 2018, 13:08
1
Expert Reply
Move in the counterclock direction and add the angles to get the angle between two lines. Refer to the figure below:
Inkedcircle_LI.jpg [ 349.47 KiB | Viewed 4414 times ]
For example line e to d is 40 degree and line e to c is 40 + 55 =95 degrees. So if we keep on adding the angles and get to a number of 180 degrees then those two lines would be parallel.
For example angles between line A and F is = 30+35+32+45+36=178. Not parallel
Now start the same thing for B and go till line G = 40+30+35+32+45=182 Not parallel
..
..
Between E and J = 40+35+35+40+30=180 Parallel
Hence E.
No need to keep on adding after 180 is reached. Any line beyond 180 will not be parallel.
Attachment:
Inkedcircle_LI.jpg [ 349.47 KiB | Viewed 4414 times ]
For example line e to d is 40 degree and line e to c is 40 + 55 =95 degrees. So if we keep on adding the angles and get to a number of 180 degrees then those two lines would be parallel.
For example angles between line A and F is = 30+35+32+45+36=178. Not parallel
Now start the same thing for B and go till line G = 40+30+35+32+45=182 Not parallel
..
..
Between E and J = 40+35+35+40+30=180 Parallel
Hence E.
No need to keep on adding after 180 is reached. Any line beyond 180 will not be parallel.
