Exploring Lines in 6th Grade


 Math > Math Concepts > Geometry > Exploring Lines (part 4 of 4) 
 
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Line properties - Geometry (6th and 7th grade)

Exploring Lines in 6th and 7th grade - Part 1, 2, 3, 4

Exploring Lines - Page 4 (6th grade, review for 7th grade)  

Line property 4:  if two lines are parallel (notation: L1 || L2), then from a given point on one line there exists a shortest line segment whose other endpoint lies on the second line and whose length, d, is the minimum of all lengths of all line segments between L1 and L2.  Since L1 and L2 are parallel lines, as we move this line segment along these lines, this distance does not vary.

All of these segments are perpendiculars. (notation: S ⊥ L1 and S ⊥ L2.)  The segment S is also said to be othogonal to the parallel lines.

Another view is: given a line L and distance d, there exists exactly two lines, one on each side of L, at the distance d from L.

Example 3 Lines


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