Discussion

 
Column A Column B
90°θ is an angle of quadrilateral Q.
(A)Column A is larger
(B)...
(C)...
(D)...
(E)...
(F)...
*This question is included in Nova Math - Problem Set J: Geometry, question #35

The solution is

Posted: 07/31/2012 06:56
I believe we could also have a trapezium. In that case we will have two parallel sides and opposite angles that are 90 degrees yet we don't guarantee the other two angles to be 90degrees.
Posted: 08/01/2012 17:53
Immanuel, a trapezium in the American meaning of the word is a quadrilateral with no parallel sides. You would have been correct except for one information given in the problem.

The problem clearly states the opposite sides (not just two sides) are parallel, which means it is not a trapezium. And it also says one of the four angles is a right angle, which results in all angles being 90 degrees.
Posted: 09/15/2013 03:34
I was also confused by the language; I thought that just plain "opposite sides" could mean that only two sides were parallel, meaning that the shape could be a trapezoid, and not necessarily that all (both sets of) opposite sides were parallel. Does the GRE sometimes only say "opposite sides of a quadrilateral are parallel" and does that always tell us that we're dealing with a parallelogram and not a trapezoid?
Posted: 12/08/2015 20:05
What is the zero with a line through it?
Image Not Available
Admin
Posted: 12/09/2015 01:35
Hi Joelene,

That is the Greek letter Theta.

Greek letters are often used to represent angles in geometry.

Nova Press

You need to be signed in to perform that action.

Sign In