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P and Q are two different points on line l and R & S are two
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Updated on: 19 Jan 2020, 12:42
Updated on: 19 Jan 2020, 12:42
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Question Stats:
71% (00:38) correct
28% (01:27) wrong based on 14 sessions
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P and Q are two different points on line l and R & S are two different points on line m. Line l is parallel to line m and the distance between P & Q is same as the distance between R & S. Point 'T' is the midpoint of line segment PQ.
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.
Quantity A |
Quantity B |
Distance from T to R |
Distance from T to S |
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.
Originally posted by Haripriya517 on 19 Feb 2018, 23:05.
Last edited by Carcass on 19 Jan 2020, 12:42, edited 3 times in total.
Last edited by Carcass on 19 Jan 2020, 12:42, edited 3 times in total.
Edited by Carcass
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
Given Kudos: 0
Re: Geometry
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19 Feb 2018, 23:15
19 Feb 2018, 23:15
3
Expert Reply
In a geometry problem with no picture, you should just draw a picture to help visualize. But beware! The reason that they didn't provide a picture is that there is an easy assumption to be made when drawing it yourself. In this problem, drawing a picture of two parallel lines with two points on each seems simple enough. But the assumption that most will make is that because lines l and m are parallel, points P and Q, and points R and S are next to each other. If they are, then T will be equidistant from R and S and the answer would be C.
But if you realize that points R and S can slide anywhere they want on line m as long as they stay the same distance apart, you'll see that the distance from T to either R or S can be basically anything. Thus the real answer is D.
But if you realize that points R and S can slide anywhere they want on line m as long as they stay the same distance apart, you'll see that the distance from T to either R or S can be basically anything. Thus the real answer is D.
Re: Geometry
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20 Feb 2018, 23:43
20 Feb 2018, 23:43
I gave my answer C). Even if the points can be anywhere, shouldn't their distance be essentially the same? What I mean is that the distance between P and Q is the same as Q and P and the distance of R and S is the same as P and Q. So T is the midpoint and my answer followed from that.
