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Column AColumn Bxy

Column A   Column B
x   y

(A) Column A is larger
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set L: Coordinate Geometry

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Replies to This Thread: 1 | ----
Column AColumn Bxy 
Posted: 07/03/2013 13:52
It was not specified that the line intersected (0,0). Though it seems to be drawn that way it was not explicitly stated so the slope can not be determined without assumption.
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Posted: 07/03/2013 17:05
Hi Chris,

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 the line in the figure appears to pass through the origin, it does.

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Replies to This Thread: 1 | ----
Column AColumn Bxy 
Posted: 09/22/2013 14:02
The question isn't about absolute values. It's about comparing the numbers x and y inside the coordinates. When x and y are positive, y is larger. When they're negative, x is larger (less negative). When at the origin, they're the same. Hence, I think that the answer should be that we don't know.
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Posted: 09/23/2013 01:23
Hi Patrick,

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 the point (x, y) appears to be in the first quadrant, it is. It cannot be at the origin because then it would not be in the first quadrant. The origin and the x- and y-axes are not in any of the quadrants -- they are the boundaries between the quadrants.

Note: Although in the solution we said "the y-coordinate will always be larger in ABSOLUTE VALUE than the x-coordinate," this was not necessary since both x and y are positive in the first quadrant.

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