CBSE Class 9 > Class 9 Videos > Mathematics (Maths) > Lines Parallel to the Same Line (Theorems and Examples)
Lines Parallel to the Same Line (Theorems and Examples) Video Lecture -
FAQs on Lines Parallel to the Same Line (Theorems and Examples)
| 1. What is the definition of parallel lines? |  |
Ans. Parallel lines are lines in a plane that do not intersect each other, no matter how far they are extended.
| 2. What are the theorems related to lines parallel to the same line? | |
Ans. Some theorems related to lines parallel to the same line include: - Alternate Interior Angles Theorem: If two parallel lines are cut by a transversal, then the alternate interior angles are congruent. - Corresponding Angles Theorem: If two parallel lines are cut by a transversal, then the corresponding angles are congruent. - Consecutive Interior Angles Theorem: If two parallel lines are cut by a transversal, then the consecutive interior angles are supplementary.
| 3. How can we prove that lines are parallel to the same line? | |
Ans. To prove that lines are parallel to the same line, we can use the converse of the Corresponding Angles Theorem. If the corresponding angles formed by a transversal and two lines are congruent, then the lines are parallel.
| 4. Can lines be parallel to the same line without being parallel to each other? | |
Ans. No, if two lines are parallel to the same line, they must also be parallel to each other. This is a property of parallel lines.
| 5. What are some real-life examples where lines are parallel to the same line? | |
Ans. Some examples of real-life situations where lines are parallel to the same line include railway tracks, the edges of a bookshelf, the lines on a ruled paper, and the lines on a basketball court.
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Apr 19, 2026 Last updated
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