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Which of the following statements is true about the line seg
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24 Mar 2019, 10:58
24 Mar 2019, 10:58
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Question Stats:
70% (00:42) correct
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Which of the following statements is true about the line segment with endpoints (–1, 1) and (1, –1)?
(A) Crosses the x-axis only.
(B) Crosses the y-axis only.
(C) Crosses the y-axis on its positive side.
(D) Passes through the origin (0, 0).
(E) Crosses the x- and y-axes on their negative sides.
(A) Crosses the x-axis only.
(B) Crosses the y-axis only.
(C) Crosses the y-axis on its positive side.
(D) Passes through the origin (0, 0).
(E) Crosses the x- and y-axes on their negative sides.
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Re: Which of the following statements is true about the line seg
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04 Apr 2019, 17:32
04 Apr 2019, 17:32
2
Expert Reply
Carcass wrote:
Which of the following statements is true about the line segment with endpoints (–1, 1) and (1, –1)?
(A) Crosses the x-axis only.
(B) Crosses the y-axis only.
(C) Crosses the y-axis on its positive side.
(D) Passes through the origin (0, 0).
(E) Crosses the x- and y-axes on their negative sides.
(A) Crosses the x-axis only.
(B) Crosses the y-axis only.
(C) Crosses the y-axis on its positive side.
(D) Passes through the origin (0, 0).
(E) Crosses the x- and y-axes on their negative sides.
We see that (-1, 1) is in the second quadrant of the xy-plane and (1, -1) is in the fourth quadrant.
Since we move 2 units to the right and 2 units down to go from (-1, 1) to (1, -1), the line segment must pass through the origin. Notice that from (-1, 1) to the origin (0, 0), we need to go 1 unit to the right and 1 unit down, and then from (0, 0) to (1, -1), we need to go 1 unit to right again and 1 unit down again. Going 2 units to the right and 2 units down is equivalent of making two trips of going 1 unit to the right and 1 unit down.
Answer: D
Re: Which of the following statements is true about the line seg
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14 Aug 2022, 04:27
14 Aug 2022, 04:27
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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