Geometry: Getting Started - Parallel Lines and Transversals
This is a free lesson from our course in Geometry
In this lesson you’ll be introduced to the definition, basics and uses of parallel lines and Transversals in geometry. You’ll learn it in the presentation by instructor in own handwriting, using video and with the help of several examples with solution. It will be followed by explaining their use to help you solve problems.
Two or more lines are called parallel lines if and only if the lines lie in the same plane but do not intersect. The symbol used for parallel lines to each other is . E.g. Line AB is parallel to CD is represented by AB CD. When two lines are parallel, they have no points in common. A transversal is a line that intersects two or more lines (in the same plane), each at a different point. (More text below video...)
<h2> Geometry - Getting started - Parallel Lines and Transversals</h2> <p> video, point, plane, parallel, line, geometry, intersect, parallel lines, transversal, geometry help, geometry tutorials, coplanar lines, example, math help, solutions, quizzes</p> <p> Two lines in the same plane that never intersect are called parallel lines, E.g. opposite edges of a ruler, rail lines etc.</p>
Other useful lessons:
Identifying Special Angle Pairs
Relationships Among Special Angle Pairs
(Continued from above) When lines intersect, angles are formed in several locations and names of certain angles describe ‘where’ the angles are located in relation to the lines. Transversal Postulate: This rule involves angles and transversals i.e. if a transversal intersects two parallel lines, the corresponding angles are congruent. For example: Given- AB CD and 1 measures 60°. Find other angles in the figure below:
You can solve this problem, using the following steps,
• since, 1 measures 60°, 2 shall be 120° (this being supplementary to 1). By definition, the supplementary angles are any two angles when they sum up to 180°.
1 and 3 are Vertical Angles, as they two nonadjacent angles formed by two intersecting lines. Therefore, 3 = 60°. Then 4 = 120°(this being, supplementary to 1).
1 and 5 are equal (by transversal postulate)
• similarly, 6=2, 7=3 and 8=4 (by transversal postulate).
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