The opposite sides of a rectangle also represent parallel lines that are equidistant. If two lines are parallel, they have the same slope. The real-life examples of parallel lines include railroad tracks, the edges of sidewalks, rails of a ladder, never-ending rail tracks, opposite sides of a ruler, opposite edges of a pen, eraser, etc. The rule for parallel lines is that the lines should not meet each other. In other words, if two straight lines in the same plane are the same distance apart and they never meet each other, they are called parallel lines.
No, the definition itself suggests that these lines never meet. Hence, parallel lines would not meet even at infinity. No, parallel lines do not have the same equation, but they have the same slope. So, another straight line in the same plane, that has the same slope of 4 will be parallel to the given line.
No, a triangle does not have any parallel lines. Since a triangle always has 3 intersecting sides; and we know that parallel lines never intersect each other, therefore, a triangle cannot have parallel lines. A hexagon is a six-sided polygon. A regular hexagon has three pairs of parallel lines.
Learn Practice Download. Parallel lines Two or more lines that lie in the same plane and never intersect each other are known as parallel lines. What are Parallel Lines? Parallel Lines and Transversal 3. Parallel Lines Properties 4. Parallel Lines Examples Example 1: Using the properties of parallel lines, write true or false for the following statements.
Parallel lines are always the same distance apart. Solution: a. True, parallel lines are always the same distance apart. Solution: When any two parallel lines are cut by a transversal, many pairs of angles are formed. Have questions on basic mathematical concepts? Become a problem-solving champ using logic, not rules.
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Parallel Lines Worksheet. When your notebook is closed, the lines are not only parallel on each page, they are parallel from page to page, too. Parallel lines as a purely geometric concept must be completely flat and exist on a single plane. In real life, while railroad tracks, the edges of sidewalks, and the markings on streets are all parallel, the tracks, sidewalks, and streets go up and down hills and around curves.
Those three real-life examples are good, but not perfect, models of parallel lines. Consider railroad tracks. The two lines never meet, but they move up and down and side to side through three-dimensional space. Railroad tracks, unless they are on a completely flat plain like a desert, are more similar to skew lines than parallel lines. What is a Line Graph? Get better grades with tutoring from top-rated professional tutors.
Get help fast. Want to see the math tutors near you? View Course Next Lesson. Parallel Shapes Parallel lines are by themselves very interesting, but when you take segments of them, you can construct many polygons.
How to Construct Parallel Lines Construct parallel lines with a straightedge, a pencil, and plain paper. For the given line, draw a transversal crossing the existing line and passing through the point not on the line; we'll call that Point A for Above!
Now, you have two intersecting lines. Identify the point where your new transversal intersects the existing line; call it Point N for New! Set your drawing compass to scribe an arc shorter than the distance from the existing line to Point A.
Scribe two arcs with the compass needle set on Point N and again on Point A. The first arc, from Point N , should cross the existing line and the transversal; the second arc, from Point A , will cross only the transversal somewhere above Point A. Where your first arc crosses the transversal below Point A , place your compass needle on the transversal and adjust the compass to reach the point on the existing line where your first arc crossed it.
Lift the compass, and without adjusting it, place the needle on that point above Point A where the second arc intersected the transversal.
Scribe another arc down to cross that second arc. Where the two arcs cross near Point A , connect that point to Point A to construct a line parallel to your existing line. Graphing Parallel Lines In coordinate graphing, parallel lines are easy to construct using the grid system. Lesson Summary: After working your way through this lesson and video, you should be able to: Define and explain parallel lines Construct parallel lines Cite examples of parallel lines from everyday life Use the slope-intercept form to write equations for parallel lines on coordinate planes.
Instructor: Malcolm M. Malcolm has a Master's Degree in education and holds four teaching certificates. He has been a public school teacher for 27 years, including 15 years as a mathematics teacher.
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