The following are coordinates of points in the xy-plane. Which of these points is nearest the origin?

(A) (0, -1)

(B) (0, 1/2)

(C) (1/2, -1/2)

(D) (1/2, 1/2)

(E) (-1, -1)

Level of Difficulty

In each of the given choices, you will need to graph the point and figure out the straight line distance from the point to the origin. Choices A and B are the easiest to figure out since they lie on the X axis and have distances of 1 and 1/2 respectively.

Choices C, D, and E, once they are plotted, will require a right triangle and the use of the Pythagorean Theorem to get the straight line distance to the origin. Once that is done, it's easy to see that of all the given choices, 1/2 is the smallest distance to the origin, or choice B.

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