71. Column A   Column B   The area of ... ...

 
71. Column A   Column B
  The area of the square   18
 
(A) Column A is larger
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set G: Quantitative Comparisons

 
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  71. Column A   Column B   The area of ... ... 
Posted: 05/29/2013 00:32
Couldn't the line in the square not be the diagonal, meaning we wouldn't know if it's dividing the square into right-angle triangles or not?
Arcadia
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Posted: 05/29/2013 01:05
Hi Charlotte,

Although figures may not be drawn to scale, the relative position of geometric objects are what they appear to be.

So, if a point appears to be to one side of a line, then it is there. Or if a line appears to pass through the center of a circle, then it does.

Since line in the figure appears to pass through opposite vertices of the square, it does and therefore is a diagonal.

Note: If we were not told in Column A that the figure is a square, then we could not assume that it is based on the appearance of the figure -- it could be a rectangle. In this case, however, the diagonal would still be a diagonal.

Nova Press