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A, B, C, and D are points on a line such that point B bisect

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A, B, C, and D are points on a line such that point B bisect [#permalink] New post   30 Sep 2018, 02:37
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A, B, C, and D are points on a line such that point B bisects line AC and point A bisects line CD. What is the ratio of AB to CD ?

(A) 14

(B) 13

(C) 12

(D) 23

(E) 34
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Re: A, B, C, and D are points on a line such that point B bisect [#permalink] New post   07 Jun 2020, 04:00
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[Refer attached image]
B bisects line AC => Let's take length of AC as 2x so AB=BC = x
A bisects line CD => AC = AD = 2x => CD = 4x
ABCD = x4x = 14

So, answer is A
Hope it helps!
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Re: A, B, C, and D are points on a line such that point B bisect [#permalink] New post   15 Jun 2020, 01:50
Why did you assume that AC = AD? Why not AB = AD?

BrushMyQuant wrote:
[Refer attached image]
B bisects line AC => Let's take length of AC as 2x so AB=BC = x
A bisects line CD => AC = AD = 2x => CD = 4x
ABCD = x4x = 14

So, answer is A
Hope it helps!
Carcass wrote:
A, B, C, and D are points on a line such that point B bisects line AC and point A bisects line CD. What is the ratio of AB to CD ?

(A) 14

(B) 13

(C) 12

(D) 23

(E) 34
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BrushMyQuant
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GMAT 1: 700 Q51 V31
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Re: A, B, C, and D are points on a line such that point B bisect [#permalink] New post   15 Jun 2020, 03:38
Hi @Farina

AC = AD as Question says "point A bisects line CD"
AB would be equal to AD when question says "point A bisects line BD" but we DO NOT know that information from the question.

Hope it helps!
Farina wrote:
Why did you assume that AC = AD? Why not AB = AD?

BrushMyQuant wrote:
[Refer attached image]
B bisects line AC => Let's take length of AC as 2x so AB=BC = x
A bisects line CD => AC = AD = 2x => CD = 4x
ABCD = x4x = 14

So, answer is A
Hope it helps!
Carcass wrote:
A, B, C, and D are points on a line such that point B bisects line AC and point A bisects line CD. What is the ratio of AB to CD ?

(A) 14

(B) 13

(C) 12

(D) 23

(E) 34
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Farina
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Re: A, B, C, and D are points on a line such that point B bisect [#permalink] New post   16 Jun 2020, 23:40
BrushMyQuant wrote:
Hi @Farina

AC = AD as Question says "point A bisects line CD"
AB would be equal to AD when question says "point A bisects line BD" but we DO NOT know that information from the question.

Hope it helps!
Farina wrote:
Why did you assume that AC = AD? Why not AB = AD?

BrushMyQuant wrote:
[Refer attached image]
B bisects line AC => Let's take length of AC as 2x so AB=BC = x
A bisects line CD => AC = AD = 2x => CD = 4x
ABCD = x4x = 14

So, answer is A
Hope it helps!


Thanks a lot for clarity. So I can assume that bisect means midpoint
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Re: A, B, C, and D are points on a line such that point B bisect [#permalink] New post   16 Jun 2020, 23:49
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Yes, there are two types of bisectors

Side Bisector
-> Means a point, line segment or line is dividing other line segment into two equal points (passing through mid point)

Angle bisector
-> Angle is divided into two equal parts by the angle bisector line or line segment
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Re: A, B, C, and D are points on a line such that point B bisect [#permalink] New post   01 Jul 2024, 21:12
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Re: A, B, C, and D are points on a line such that point B bisect [#permalink]
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