![]() Using only a pencil, straightedge and compass, you have now learned how to draw parallel lines. As a less elegant way to check, you can put a ruler to the distance, so long as you measure perpendicular to the two lines. ![]() If the lines are parallel, the distance will be the same anywhere you check. Lift your compass, being careful not to disturb the legs, and check anywhere along the two lines. Open your compass to spread the legs so the point is on one parallel line and the pencil is on the other. You are depending on the legs to stay exactly the same distance apart for several steps in constructing your parallel lines.įor checking your work, you may want an accurate ruler, but it is not necessary. If your compass legs slip, get a better compass. Straightedge (like a ruler or any straight, thin, smooth object)Ĭompass (not the kind for direction the kind with two legs, one with a point and one with a pencil)Ī good-quality compass will hold the position of its legs as you adjust them. To construct parallel lines, you need these four simple tools: When you construct figures in geometry, you are a geometer. ![]() ![]() Tools of the geometricianĪ geometrician is a mathematician who studies geometry. You know they cannot meet, because then a train could not move or cars could not fit on the road. Sides of doors, edges of cereal boxes, and the floorboards of a home are parallel.Ĭlassic examples of parallel lines that fool your eye are railroad tracks and roads, the two lines of which seem to meet in the distance. The lines of notebook paper are parallel. You encounter parallel lines in geometry, of course, but also in everyday life. Both lines have to be in the same plane (be coplanar). Two lines, line segments, or rays (or any combination of those) are parallel if they never meet and are always the same distance apart. This will show you how to do it, using the simplest of tools (and no measuring!). One skill you may need is the ability to construct parallel lines. I know you think your issues are unique, but I could easily draw a parallel between my situation and yours.Geometry is hands-on mathematics. There are no parallels between the two teams they're as different as can be. There were no obvious parallels between the two advertisements, yet they both fit well within our marketing efforts. I don't know why she always tries to draw parallels between us I think we're completely different. All uses of parallel draw from this idea of two like lines with the same path. In Geometry, parallel lines have equal space between them for the distance of the lines (parallel lines will never cross). To draw a parallel between two things means "to draw a comparison." If something is a parallel to something else, the two things are very similar and have much in common. (adj.) different, dissimilar, (n.) difference, opposite (n.) comparison, similarity, equivalent, counterpart, corollary, coordinate, latitude, (adj.) corresponding, concurrent, even, similar, comperable having similarities or shared characteristics relating to two lines or planes running the same distance apart and never meeting 2. imaginary line on the earth's surface, running parallel to the equator, that represents the degrees of latitude (adj.) 1. a line or plane that is the same distance apart from another at all points 4. something very similar to something else 3.
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