![]() ![]() The Corresponding Angles Postulate states that parallel lines cut by a transversal yield congruent corresponding angles. These eight angles in parallel lines are:Įvery one of these has a postulate or theorem that can be used to prove the two lines M A and Z E are parallel. Let's label the angles, using letters we have not used already: Angles In Parallel Lines Those eight angles can be sorted out into pairs. Create a transversal using any existing pair of parallel lines, by using a straightedge to draw a transversal across the two lines, like this: When cutting across parallel lines, the transversal creates eight angles. Other parallel lines are all around you:Ī line cutting across another line is a transversal. If the two rails met, the train could not move forward. If you have ever stood on unused railroad tracks and wondered why they seem to meet at a point far away, you have experienced parallel lines (and perspective!). For example, to say line J I is parallel to line N X, we write: To use geometric shorthand, we write the symbol for parallel lines as two tiny parallel lines, like this: ∥. Both lines must be coplanar (in the same plane). Two lines are parallel if they never meet and are always the same distance apart. By using a transversal, we create eight angles which will help us. How can you prove two lines are actually parallel? As with all things in geometry, wiser, older geometricians have trod this ground before you and have shown the way.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |