guygmat wrote:

A rectangle is plotted on the standard coordinate plane, with vertices at the origin and (0,6). If the coordinates of all vertices of the rectangle are non-negative integers, what are the coordinates of the other two vertices?

(1) The distance between the origin and one of the other vertices is 10 units.

(2) The distance between the origin and one of the other vertices is 8 units.

The question states that it is a rectangle, so if u look at statement 2.

8 units has to be the length along the x plain because for it to be a square a min length of 6*1.4 =8.4 is needed. If the length is lower that 8.4, then rectangle would have lower part move into the 4th quadrant, hence 8 has to be along the x axis and not

the diagonal length.

and statement 1 is not sufficient as its is more than 8.4 and hence the rectangle can be formed if it is a the diagonal or the horizontal length.