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the length of line segment PR
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05 Aug 2022, 02:40
05 Aug 2022, 02:40
Expert Reply
1
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00:00
Question Stats:
75% (00:59) correct
25% (00:51) wrong based on 16 sessions
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Attachment:
GRE Line segmanet SO.jpg [ 24.89 KiB | Viewed 2852 times ]
Quantity A |
Quantity B |
the length of line segment PR |
three times the length of line segment SO |
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
Part of the project: GRE Quantitative Comparison GEOMETRY - Special Summer Edition (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: the length of line segment PR
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22 Aug 2022, 10:54
22 Aug 2022, 10:54
Expert Reply
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OE
Quote:
The figure shows a rectangle with diagonals PR and SQ that
intersect at point O. The diagonals of a rectangle are congruent
and bisect each other, so the length of PR––– is equal to twice the
length of SO––– (which is one half of the diagonal SQ–––). Three
times the length of SO–––, however, is longer than PR–––, so the
answer is b.
Note: Line segment SO represents a length and so cannot
reasonably have a negative value. Thus three times SO––– cannot
be a negative value, either, so three times the length of SO––– will
always be greater than the length of PR–––.
intersect at point O. The diagonals of a rectangle are congruent
and bisect each other, so the length of PR––– is equal to twice the
length of SO––– (which is one half of the diagonal SQ–––). Three
times the length of SO–––, however, is longer than PR–––, so the
answer is b.
Note: Line segment SO represents a length and so cannot
reasonably have a negative value. Thus three times SO––– cannot
be a negative value, either, so three times the length of SO––– will
always be greater than the length of PR–––.
Intern
Joined: 11 Sep 2023
Posts: 43
Given Kudos: 5
GRE 1: Q155 V141
Re: the length of line segment PR
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03 Oct 2023, 08:46
03 Oct 2023, 08:46
Diagonals of a rectangle bisect each other. Hence B>A
