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A transversal is a line that intersects two parallel lines (or lines on a plane) at different intersecting points, forming angles. Properties of Parallel Lines. Parallel lines can be easily identified using the following fundamental properties and characteristics: They are always straight lines with an equal distance between each other.
Pairs of Angles. When parallel lines get crossed by another line (which is called a Transversal), you can see that many angles are the same, as in this example: These angles can be made into pairs of angles which have special names. Click on each name to see it highlighted: Now play with it here. Try dragging the points, and choosing different ...
The equation of a parallel line can be written in various forms, such as slope-intercept form: y = mx + b. where m is the slope and b is the y-intercept. Recall that the slopes of two parallel lines are always equal. Thus, if we know the slope of one parallel line, it is possible to write the equations for an infinite number of lines parallel ...
Parallel lines. Two or more lines that lie in the same plane and never intersect each other are known as parallel lines. They are equidistant from each other and have the same slope. Let us learn more about parallel lines, the properties of parallel lines and the angles that are formed when parallel lines are cut by a transversal.
Example 8. If ∠ 1 ∘ and ∠ 8 ∘ are equal, show that ∠ 4 ∘ and ∠ 5 ∘ are equal as well. Solution. The angles ∠ 1 ∘ and ∠ 8 ∘ are a pair of alternate exterior angles and are equal. Recall that two lines are parallel if its pair of alternate exterior angles are equals. Hence, A B ― and C D ― are parallel lines.
Parallel lines are seen in many common 2D shapes. For example, Each side of a square is made of a line segment that is part of a line. The opposite sides of a square are parallel. There are also many examples of parallel lines in real life. For example, The lines that pass by the sides of a table top are parallel.
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Parallel lines are two or more lines that are always the same distance apart and never intersect, even if they’re extended infinitely in both directions. They’re always equidistant (a fancy word for ‘at equal distances’) and run in the same direction, which means they have the same slope. These lines are a fundamental in geometry and ...
