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# Which of the following must be true? I. Any of two lines

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Intern
Joined: 03 Mar 2006
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Which of the following must be true? I. Any of two lines [#permalink]

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28 Mar 2006, 17:26
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Which of the following must be true?

I. Any of two lines which are parallel to a third line are also parallel to each other.

II. Any two planes which are parallel to a third plane are parallel to each other.

III. Any two lines which are parallel to the same plane are parallel to each other.

(A) I only
(B) II only
(C) I and II only
(D) II and III only
(E) I, II and III
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28 Mar 2006, 20:48
I would dismiss I and II, the third sounds ok, because it is the same plane however there is no choice that equates to that....given this situation I would go for

D i.e II & III

How would one explain what a plane is..
Senior Manager
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28 Mar 2006, 21:08
My guess is C.

Third st. is not correct because two line can't be || to each other, but || to a plane.
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29 Mar 2006, 03:02
I would guess C too.

I and II seem ok.

A plane is a two-dimensional shape; since lines are concieved as single-dimension objects, they can be parallel to different dimensions of the plane, not necessarily the same.

Goreg
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29 Mar 2006, 04:06
I would go with C.

The 3rd statement need not be true as the two lines can be parallel to adjacent sides of the plane.
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29 Mar 2006, 06:41
C. The last statement can mean that the lines can intersect at any angles
29 Mar 2006, 06:41
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