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Line Segments

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Line Segments

by student22 » Fri Feb 26, 2010 10:10 am

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If P, Q, and R are three distinct points, do line segments PQ and PR have the same length?

(1) P is the midpoint of line segment QR.
(2) Q and R lie on the same circle with center P.

I got A for this one, but the official answer is D.

Did I misread the question, because I drew a diagram for statement 2, and it's not sufficient. The question doesn't specifically say that they have to lie on the outside of the circle....or did it and I just misread it? Please take a look. Thanks.

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Source: — Data Sufficiency |
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by djkvakin » Fri Feb 26, 2010 10:13 am
for 2 it says that they lie on the circle, and that means that the distance from the center to the circle equals to the radius and therefore is the same.
In your diagram you put the points inside the circle
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by student22 » Fri Feb 26, 2010 10:18 am
Thanks, that's what I wanted to figure out, so "on the circle" ALWAYS means on the circumference of the circle?

Just for future reference, how would they have phrased the question to allow the points to be both inside the circle AND on the circumference? I don't want to misinterpret the question by accident on the test.
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by ajith » Fri Feb 26, 2010 10:30 am
student22 wrote:Thanks, that's what I wanted to figure out, so "on the circle" ALWAYS means on the circumference of the circle?

Just for future reference, how would they have phrased the question to allow the points to be both inside the circle AND on the circumference? I don't want to misinterpret the question by accident on the test.
on the circle will always mean on the circumference of the circle

"Either on the circle or inside the circle" will be the apt statement for referring the points to be both inside the circle AND on the circumference

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by student22 » Fri Feb 26, 2010 10:33 am
Got it, thanks for clarifying it for me! I tend to over think some of these data sufficiency questions.
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