Discussion
| 71. | Column A |  | Column B |
| | The area of the square | | 18 |
| (A) | Column A is larger |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
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?
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
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