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# Segment a segment

## Question

In front of you is a line and a line segment. You need to dissect the line segment into 6 equal segments. Unfortunately you only possess two skills.  you have the ability to mark points and you have the ability to draw straight segments. How will you segment the segment into six equal parts?

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To clarify. You don't have any of these abilities:

1. Make a line segment of equal length to another segment, or equivalently make equally-spaced pairs of points. (You don't have a pair of dividers.)
2. Make a line segment that is parallel to another line (segment).
3. Make an arc. (You don't have a compass.)

But you do have the equivalent of a straight-edge.

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On 10/10/2017 at 3:18 PM, bonanova said:

To clarify. You don't have any of these abilities:

1. Make a line segment of equal length to another segment, or equivalently make equally-spaced pairs of points. (You don't have a pair of dividers.)
2. Make a line segment that is parallel to another line (segment).
3. Make an arc. (You don't have a compass.)

But you do have the equivalent of a straight-edge.

yes

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One more thing , does this problem have a solution?
And is the line and line segment given intersecting , parallel or just inclined and not intersecting?

Edited by Slashpuzzler
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20 hours ago, Slashpuzzler said:

One more thing , does this problem have a solution?
And is the line and line segment given intersecting , parallel or just inclined and not intersecting?

There is a solution.  the problem can be solved by them either being parallel or not intersecting.  Since this is proving challenging, lets just focus on the parallel situation for now.  Maybe I will repost the question for not intersecting later.

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