Class 7 Maths - TAMILNADU
Parallel and Intersecting Lines
In the 'Parallel and Intersecting Lines' chapter of Class 7 Mathematics under the Tamil Nadu Samacheer Kalvi syllabus, students explore the fundamental relationships between lines in a plane. This chapter covers intersecting lines, parallel lines, perpendicular lines, and the special angles formed when a transversal line intersects two other lines, such as corresponding, alternate interior, alternate exterior, and co-interior angles. Understanding these geometric properties is essential for solving problems related to angle measures and shape properties. This topic is crucial for board exams as it forms the foundational building block for advanced geometry in higher classes and frequently appears in objective and descriptive questions.
Start Learning FreeKey Concepts
Intersecting Lines
Two or more lines that meet or cross each other at a single common point are called intersecting lines. The point where they meet is known as the point of intersection.
Parallel Lines
Lines in the same plane that never meet or intersect, no matter how far they are extended in either direction, and always remain at the same distance apart are parallel lines.
Perpendicular Lines
When two intersecting lines meet at a right angle (90 degrees) to each other, they are known as perpendicular lines.
Transversal
A line that intersects two or more distinct lines at different points is called a transversal line, creating various angle pairs.
Angles made by a Transversal
When a transversal intersects two parallel lines, it forms special angle pairs with equal measures, including corresponding angles, alternate interior angles, and alternate exterior angles.
Important Formulas
Board Exam Info
In the Tamil Nadu Samacheer Kalvi Class 7 Mathematics examinations, this chapter typically carries around 6 to 10 marks. Common question types include identifying types of lines from a given figure, finding unknown angle measures using properties of parallel lines and transversals, and simple construction-based word problems.
Frequently Asked Questions
Two lines are parallel if their corresponding angles, alternate interior angles, or alternate exterior angles are equal, or if the interior angles on the same side of the transversal are supplementary.
Two lines are parallel if their corresponding angles, alternate interior angles, or alternate exterior angles are equal, or if the interior angles on the same side of the transversal are supplementary.
What is the difference between intersecting and parallel lines?
Intersecting lines cross each other at one common point, whereas parallel lines never meet and always stay at an equal distance apart.
Are perpendicular lines also intersecting lines?
Yes, perpendicular lines are a special type of intersecting lines where the angle of intersection is exactly 90 degrees.
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