If the distance between two lines in a plane are same everywhere, then they are called parallel lines. otherwise called intersecting lines. The distance between two intersecting lines is zero. If two or more lines parallel to the same line, then all the lines are parallel to each other. In the given figure, m is parallel to n. The two lines m and n are parallel then we can write it as and "l" is the transversal. Transversal Lines : A straight line intersecting two or more straight lines in distinct points is known as a transversal to the two given lines. In the figure, the line "l" is a transversal which intersect two lines m and n forming eight angles, and . |
Illustration : In the given figure,check which lines are parallel.
Solution : As the distance between two lines in a plane are same everywhere.Hence AB,CD,EF are parallel lines.Also MN is a transversal as it intersects two or more straight lines in distinct point .
Illustration : In the given figure,check which lines are parallel.
Solution : As the distance between two lines is zero.Hence the two lines i.e. AB and CD are intersecting lines.None of these lines are parallel.
In the following figure if O is the point of intersection of all lines then which line is parallel to the line AD. | |||
Right Option : D | |||
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Which of the following statement is false ? 1. if a transversal intersects two parallel lines then each pair of alternate interior angle is equal. 2. If a transversal intersects two lines such that a pair of interior angles on the same side of transversal is supplementary,then the lines are intersecting. 3. If a transversal intersects two parallel lines then each pair of corresponding angle is equal. | |||
Right Option : C | |||
View Explanation |
In the following figure line m is parallel to ____ line and line ____ is parallel to line l' . | |||
Right Option : B | |||
View Explanation |
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