Is quadrilateral \(PQRS\) a parallelogram?

[AAPL]

Official Guide

Is quadrilateral \(PQRS\) a parallelogram?

1) Adjacent sides \(PQ\) and \(QR\) have the same length.
2) Adjacent sides \(RS\) and \(SP\) have the same length.

OA E

[Jay@ManhattanReview]

Official Guide

Is quadrilateral \(PQRS\) a parallelogram?

1) Adjacent sides \(PQ\) and \(QR\) have the same length.
2) Adjacent sides \(RS\) and \(SP\) have the same length.

OA E

For a parallelogram, the opposite (not adjacent) sides are parallel and equal to each other. Since the statements talk about adjacent sides, the quadrilateral PQRS may or may not be a parallelogram. Let's take two extreme cases: When all the four sides are parallel and equal, PQRS is a parallelogram; however, if opposite sides are not parallel and unequal, PQRS is not a parallelogram. Both the statements together are insufficient.

The correct answer: E

Hope this helps!

-Jay
_________________
Manhattan Review GRE Prep

Locations: Manhattan GMAT | Free LSAT Practice Questions | LSAT Prep Courses Manchester | SAT Prep Courses Hong Kong | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.