Class 7 Maths - MAHARASHTRA
Parallel and Intersecting Lines
In the chapter 'Parallel and Intersecting Lines' from Maharashtra State Board Class 7 Mathematics, students explore the fundamental relationships between lines in a plane. This chapter covers intersecting lines, parallel lines, perpendicular lines, and the special angle pairs formed when a transversal intersects two lines, such as interior angles, alternate angles, and corresponding angles. Understanding these geometric properties is essential because it builds the foundation for advanced geometry, theorem proofs, and construction problems in higher board exams.
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
Lines that lie in the same plane and never intersect, no matter how far they are extended, maintain a constant perpendicular distance between them.
Transversal
A line that intersects two or more distinct lines at different points is called a transversal.
Alternate Angles
Pairs of angles formed on opposite sides of a transversal and in the interior or exterior of the two lines.
Corresponding Angles
Pairs of angles that occupy the same relative position at each intersection where a straight line crosses two others.
Interior Angles
Angles that lie between the two lines on the same side of the transversal; when lines are parallel, interior angles are supplementary (add up to 180 degrees).
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 7 Mathematics exam, this chapter typically carries around 6 to 8 marks. Common question types include identifying types of angle pairs from given figures, finding the measure of unknown angles using properties of parallel lines and transversals, and drawing parallel lines or transversals based on given data.
Frequently Asked Questions
How do we know if two lines are parallel?
Two lines are parallel if they never meet, the perpendicular distance between them is always the same, and when cut by a transversal, their corresponding or alternate angles are equal.
What is the difference between intersecting lines and parallel lines?
Intersecting lines cross each other at a common point, whereas parallel lines always stay the same distance apart and never cross each other.
Are interior angles always supplementary?
Interior angles on the same side of a transversal are supplementary only when the two lines being intersected are parallel lines.
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