Class 7 Maths - GUJARAT
Parallel and Intersecting Lines
In the Chapter 'Parallel and Intersecting Lines' of Class 7 Gujarat Board (GSEB) Mathematics, students explore the fundamental relationships between lines in a plane. The chapter builds a strong geometric foundation by defining intersecting lines, parallel lines, and the unique properties of transversals. You will learn how to identify various angle pairs formed when a transversal intersects two lines, such as corresponding angles, alternate interior angles, alternate exterior angles, and interior angles on the same side of the transversal. Mastering this chapter is essential for scoring well in your board exams and solving advanced geometry problems.
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.
Parallel Lines
Two lines in a plane that never meet or intersect, no matter how far they are extended, and always remain at the same distance apart, are called parallel lines.
Transversal Line
A line that intersects two or more distinct lines at different points is called a transversal.
Corresponding Angles
Angles that occupy the same relative position at each intersection where a straight line crosses two others are called corresponding angles.
Alternate Interior Angles
Pairs of interior angles formed on opposite sides of a transversal, between the two lines it intersects, are called alternate interior angles.
Important Formulas
Board Exam Info
In the Gujarat (GSEB) Class 7 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include identifying angle pairs, finding unknown angle measures using geometric properties, and proving whether two lines are parallel based on given angle conditions.
Frequently Asked Questions
How can we check if two lines are parallel?
Two lines are parallel if a transversal intersects them and makes corresponding angles equal, alternate interior angles equal, or interior angles on the same side 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 the same distance apart.
Are vertically opposite angles formed by a transversal equal?
Yes, whenever two lines intersect (including at the points where a transversal crosses other lines), the vertically opposite angles are always equal.
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