Is quadrilateral PQRS a parallelogram?

Question

(1) PQ is parallel to SR.
(2) QR and PS have the same length.

Bunuel · Accepted Answer

Best way to tackle this problem is to draw different cases. Noe, each statement alone is clearly insufficient. When taken together it's certainly possible PQRS to be a parallelogram but it's also possible it to be isosceles trapezoid: Isosceles trapezoid.PNG Answer: E. Hope it's clear.

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=QzbZ_G9IZlo

boomtangboy · Answer

Hi Bunuel,

What is the naming convention to be followed during the GMAT?

I was focusing on the clock & made my parallelogram look like a rectangle & choose C.

Thanks in advance

Bunuel · Answer

The vertices are given in order. The order of the vertices on the diagram is the same as in the stem PQRS.

Hope it's clear.

JubtaGubar · Answer

I had the same logic, however this task was in the Manhattan GMAT test I took last week. Their answer was A with the following explanation:
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. The opposite sides of a parallelogram also have equal length.

(1) SUFFICIENT: We know from the question stem that opposite sides PS and QR are parallel, while this statement tells us that they also have equal lengths. The opposite sides PQ and RS must also be parallel and equal in length. This is the definition of a parallelogram, so the answer to the question is “Yes.”

(2) INSUFFICIENT: We know from the question stem that opposite sides PS and QR are parallel, but have no information about their respective lengths. This statement tells us that the opposite sides PQ and RS are equal in length, but we don’t know their respective angles; they might be parallel, or they might not be. According to the information given, PQRS could be a trapezoid with PS not equal to QR. On the other hand, PQRS could be a parallelogram with PS = QR. The answer to the question is uncertain.

The correct answer is A.

This confused me a lot...

Bunuel · Answer

Welcome to GMAT Club.

You must be talking about some other problem, since the stem in the original questions doesn't say that opposite sides PS and QR are parallel.

fxsunny · Answer

could be a rhombus, a square - which would meet the criteria for being a parallelogram. But, could also be a trapezium with opposite angles equal to 180. 
E.

SonGoku · Answer

chetan2u ,  VeritasKarishma ,  Bunuel ,  gmatbusters 
Hi I'm having tough time solving this.
Statement1 says that PQ is parallel to SR: diagram can be rhombus,square,rectangle....All belong to parallelogram sub group.
please help me solve this problem

chetan2u · Answer

PQ is parallel to SR, but what about the second pair of opposite sides QR and PS.
If QR||PS, then surely it is a parallelogram, and if NOT, it will be a trapezium.

KarishmaB · Answer

In addition to what  chetan2u  said above, note two things:

1. A parallelogram has both pairs of opposite sides parallel to each other. So PQ should be parallel to SR AND PS should be parallel to QR for it to be a parallelogram. With only one pair of sides parallel, it may not be a parallelogram.
2. Rhombus, square and rectangle are all parallelograms. So if you have a rectangle, that is a parallelogram too. A square is a parallelogram too etc. Then, given a square, if you are asked, "Is it a parallelogram?", your answer would be "yes".

CEdward · Answer

This is a great question. So to be clear, for every GMAT question we MUST follow that order/not deviate from it? Does it matter if we go clockwise/counterclockwise? I still don't follow.

Bunuel · Answer

The positions of points, angles, regions, etc., exist in the order shown but clockwise/counterclockwise direction does not matter.

OFFICIAL GUIDE:

Problem Solving 
 Figures:  All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight.  The positions of points, angles, regions, etc., exist in the order shown , and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.

Data Sufficiency: 
 Figures: 
• Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2).
• Lines shown as straight are straight, and lines that appear jagged are also straight.
•  The positions of points, angles, regions, etc., exist in the order shown , and angle measures are greater than zero.
• All figures lie in a plane unless otherwise indicated.

Hope it helps.

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Is quadrilateral PQRS a parallelogram?

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Is quadrilateral PQRS a parallelogram?

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