Class 7 Maths - BIHAR
Parallel and Intersecting Lines
In this chapter, students of Class 7 Bihar Board will explore the fundamental properties of lines in geometry. You will learn to identify and differentiate between intersecting lines, parallel lines, and transversals. The chapter covers important angle relationships formed when a transversal intersects two parallel lines, including alternate interior angles, corresponding angles, and co-interior angles. Understanding these concepts is crucial for solving complex geometrical problems, constructing shapes accurately, and scoring high marks in your school and board examinations.
Start Learning FreeKey Concepts
Intersecting Lines
Two or more lines that meet or cross each other at a single common point called the point of intersection.
Parallel Lines
Two lines in a plane that are always the same distance apart and never meet, no matter how far they are extended.
Transversal Line
A line that intersects two or more other lines at distinct points, creating various pairs of angles.
Corresponding Angles
Angles that occupy the same relative position at each intersection where a straight line crosses two others; they are equal when the lines are parallel.
Alternate Interior Angles
Pairs of angles formed on opposite sides of the transversal and on the interior of the two parallel lines; they are equal in measure.
Co-interior (Consecutive Interior) Angles
Angles on the same side of the transversal and inside the parallel lines; their sum is always 180 degrees.
Important Formulas
Board Exam Info
In the Bihar Board Class 7 Mathematics examinations, this chapter typically carries around 6 to 10 marks. Common question types include identifying types of lines from given figures, finding unknown angle measures using parallel line properties, and short proof-based or calculation-based problems.
Frequently Asked Questions
How can we check if two lines are parallel?
Two lines are parallel if the alternate interior angles, corresponding angles are equal, or co-interior angles are supplementary when intersected by a transversal.
Do parallel lines ever meet?
No, parallel lines never intersect or meet each other, no matter how far they are extended in either direction.
What is the difference between intersecting and perpendicular lines?
Intersecting lines cross each other at any angle, whereas perpendicular lines are a special type of intersecting lines that meet at a right angle (90 degrees).
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