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A line that intersects two or more lines at distinct points is called
- a)parallel
- b)transversal
- c)intersecting
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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A line that intersects two or more lines at distinct points is calleda...
Parallel Lines and a Transversal. A line which intersects two or more given lines at distinct points is called a 'transversal' of the given lines.
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A line that intersects two or more lines at distinct points is calleda...
Transversal
A line that intersects two or more lines at distinct points is called a transversal. Let's understand this concept in detail:
Hence, the correct answer is option B) transversal.
A line that intersects two or more lines at distinct points is called a transversal. Let's understand this concept in detail:
- Lines and Transversals: Before understanding a transversal, it is important to understand what lines are. Lines are straight, infinite, and one-dimensional figures that extend in both directions. They are represented by a straight line with arrows on both ends. In geometry, lines are denoted by small letters, such as line l or line m.
- Parallel Lines: Two or more lines in a plane that never intersect each other are called parallel lines. Parallel lines have the same slope and will never cross or intersect. They can be represented by the symbol "//" or by indicating that their corresponding angles are congruent. For example, if line l is parallel to line m, it can be written as l // m or ∠1 ≅ ∠2.
- Transversal Definition: A transversal is a line that intersects two or more lines at distinct points. It does not have to be perpendicular or parallel to the lines it intersects. Transversals are represented by a straight line that crosses over two or more other lines. In geometry, transversals are denoted by small letters, such as line t or line n.
- Intersecting Lines: When a transversal intersects two lines, it creates several pairs of angles. These angles can be classified into different types based on their properties, such as corresponding angles, alternate interior angles, alternate exterior angles, consecutive interior angles, etc. The properties and relationships between these angles are studied under the topic of angles formed by transversals.
- Examples: Let's consider an example to understand this concept better. Suppose we have two lines l and m, and a transversal line t that intersects them. The points of intersection between the transversal and the two lines are labeled as A, B, C, and D. In this case, line t is the transversal, and it intersects lines l and m at points A and B, as well as points C and D, respectively.
Hence, the correct answer is option B) transversal.
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A line that intersects two or more lines at distinct points is calleda...
A transversal is an interesting line which intersects two or more lines at distinct points
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A line that intersects two or more lines at distinct points is calleda)parallelb)transversalc)intersectingd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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