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Sub 505 (Easy)|   Geometry|         
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Bunuel
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If P, Q, and R are three distinct points, do line segments PQ and PR 18 Dec 2014, 07:02
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D
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5% (low)

Question Stats:

85% (00:51) correct 15% (01:00) wrong based on 465 sessions

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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.
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D
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If P, Q, and R are three distinct points, do line segments PQ and PR 18 Dec 2014, 07:09
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D.
S1- As P is the mid point of QR PQ and PR must be same length.
S2- Q n R lies on the same circle(i.e. is equal distance from center P as both are the radius of the circle).So, PQ=PR.
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If P, Q, and R are three distinct points, do line segments PQ and PR 18 Dec 2014, 08:10
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1.no explaination needed i think. Sufficeint

2. All points on a circle lies on equal distance from center. Sufficient

Ans D
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If P, Q, and R are three distinct points, do line segments PQ and PR 19 Dec 2014, 11:10
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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.

Solution:
Lengths PQ=PR?

Statement 1: P is the midpoint of line segment QR
Thus PQ=PR - Sufficient

Statement 2: Q and R lie on the same circle with center P
PQ = radius of circle
PR = radius of circle
Thus PQ=PR - Sufficient

Each statement alone is sufficient. Answer D
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If P, Q, and R are three distinct points, do line segments PQ and PR 22 Dec 2014, 07:52
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Bunuel

Tough and Tricky questions: Geometry.



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.

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The correct answer is D.
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If P, Q, and R are three distinct points, do line segments PQ and PR 19 May 2016, 13:23
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The question is basically asking us whether length (PQ) = length (PR)

Statement 1 tells us point P is midpoint of line segment QR. points lie in the order Q---P---R or R---P---Q
It means that length (PQ) = length (PR) So sufficient

Statement 2 tells us that Q and R are endpoints of arc represented in a circle with center P.
It means that PQ and PR are radius of the circle. we know that radius of a circle are equal in lengths,so length (PQ) = length (PR)
so sufficient

Correct Answer - D
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If P, Q, and R are three distinct points, do line segments PQ and PR 11 Aug 2023, 20:53
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