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In the figure above, segments PQ and PR are each parallel to

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by Anaira Mitch » Thu Jan 26, 2017 7:26 am
In the figure above, segments PQ and PR are each parallel to one of the rectangular coordinate axes. What is the sum of the coordinates of point P ?

(1) The x-coordinate of point Q is -1.
(2) The y-coordinate of point R is 1.

Please help with above problem.
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by Jay@ManhattanReview » Thu Jan 26, 2017 9:56 pm
Anaira Mitch wrote:In the figure above, segments PQ and PR are each parallel to one of the rectangular coordinate axes. What is the sum of the coordinates of point P ?

(1) The x-coordinate of point Q is -1.
(2) The y-coordinate of point R is 1.

Please help with above problem.
Hi Anaira,

Given that PQ is parallel to Y-axis, and PR is parallel to X-axis, we can deduce that the x-coordinate of P and Q are the same, and the y-coordinate of P and R are the same.

S1: The x-coordinate of point Q is -1 means that the x-coordinate of point P is -1.

However, we do not have P's y-coordinate. Insufficient.

S2: The y-coordinate of point R is 1 means that the y-coordinate of point P is 1.

However, we do not have P's x-coordinate. Insufficient.

S1 & S2:

The coordinates of P are; (-1, 1), thus the sum = 0.

Answer: C

-Jay
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