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655-705 (Hard)|   Geometry|      
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philipssonicare
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Is the quadrilateral PQRS shown as in the figure above equal to a rhom 17 Sep 2019, 23:04
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

43% (01:19) correct 57% (01:17) wrong based on 87 sessions

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Attachment:
PQRS.jpg
PQRS.jpg [ 5.13 KiB | Viewed 2197 times ]

Is the quadrilateral PQRS shown as in the figure above equal to a rhombus?

1) ∠PQR is equal to ∠PSR
2) The length of PQ is equal to the length of QR
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E
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
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stne
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Is the quadrilateral PQRS shown as in the figure above equal to a rhom 20 Sep 2019, 01:35
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philipssonicare
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Is the quadrilateral PQRS shown as in the figure above equal to a rhombus?

1) ∠PQR is equal to ∠PSR
2) The length of PQ is equal to the length of QR
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Hi philipssonicare,

Properties of a Rhombus:

All sides are equal
Adjacent angles add up to 180 and diagonally opposite angles are equal
Diagonals Bisect each other at 90


1) ∠PQR is equal to ∠PSR -diagonally opposite angles are equal so It could be a rectangle or a Rhombus , NOT SUFF.
2) The length of PQ is equal to the length of QR : We know nothing of the other sides or the angles hence we cannot say anything NOT SUFF.

1+ 2
Look at the figure below , using both the figure could be a Rhombus or NOT.

Hence Ans- E

Attachment:
Figure Rhombus.png
Figure Rhombus.png [ 4.46 KiB | Viewed 2049 times ]
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Is the quadrilateral PQRS shown as in the figure above equal to a rhom 23 Nov 2023, 08:38
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