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Which of the following statements is true about the line segment with

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Which of the following statements is true about the line segment with  [#permalink]

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New post 02 Apr 2019, 23:17
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A
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C
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Question Stats:

82% (00:55) correct 18% (01:04) wrong based on 28 sessions

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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.

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Which of the following statements is true about the line segment with  [#permalink]

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New post 03 Apr 2019, 07:22
Bunuel 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.


mid point of line is 0,0
IMO D
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Re: Which of the following statements is true about the line segment with  [#permalink]

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New post 04 Apr 2019, 18:34
Bunuel 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.


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
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Re: Which of the following statements is true about the line segment with  [#permalink]

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New post 14 Apr 2019, 01:30
while the ans is D, cuz 0,0 is mid point

just for my understanding what does option C "Crosses the y-axis on its positive side." mean ?
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Re: Which of the following statements is true about the line segment with   [#permalink] 14 Apr 2019, 01:30
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