What is the main focus of NCERT Class 7 Maths Chapter 5: Parallel and Intersecting Lines?

This chapter focuses on introducing students to various types of lines (intersecting, parallel, perpendicular), different kinds of angles (complementary, supplementary, adjacent, linear pair, vertically opposite), and especially the relationships between angles formed when a transversal intersects two or more lines, particularly parallel lines.

What is a transversal in geometry?

A transversal is a line that intersects two or more other lines at distinct points. It's crucial for understanding angle relationships in geometry, especially with parallel lines.

How can you identify parallel lines using a transversal?

Two lines are parallel if, when cut by a transversal, any of these conditions are met: * Corresponding angles are equal. * Alternate interior angles are equal. * The sum of interior angles on the same side of the transversal is 180∘ (supplementary).

What are vertically opposite angles, and are they always equal?

Vertically opposite angles are formed when two lines intersect. They are the angles directly opposite each other at the intersection point. Yes, vertically opposite angles are always equal.

What is the difference between complementary and supplementary angles?

Complementary angles are two angles whose measures add up to 90∘. Supplementary angles are two angles whose measures add up to 180∘.

NCERT Solutions

Class 7

Maths

Chapter 5 Parallel and Intersecting Lines

NCERT Solutions Class 7 Maths Chapter 5 Parallel and Intersecting Lines

NCERT Solutions Class 7 Maths Chapter 5 Parallel and Intersecting Lines introduces students to the basic concepts of geometry. In this NCERT Solutions Class 7 Maths Chapter, students learn how to identify lines that never meet (parallel lines) and lines that cross each other (intersecting lines). With the help of diagrams and real-life examples like railway tracks or road crossings, the chapter makes it easy to understand how these lines work and where we see them around us.

These NCERT Solutions follow the latest NCERT syllabus and explain all questions in a clear, step-by-step way. They help students understand important terms like transversal, angles formed by lines, and how to recognize parallel lines using properties of angles.

1.0NCERT Solutions Class 7 Maths Chapter 5 Parallel and Intersecting Lines – Download PDF

Get ALLEN’s exclusive and simplified NCERT Solutions Class 7 Maths PDF for Chapter 5 – Parallel and Intersecting Lines. Our expert-prepared answers are aligned with the NCERT syllabus and perfect for concept clarity, exam prep, and revision.

NCERT Solutions for Class 7 Maths Chapter 5: Parallel and Intersecting Lines

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2.0Key Concepts in Chapter 5: Parallel and Intersecting Lines

1. What is a Line?

A line is a straight path that extends infinitely in both directions.
It has no endpoints and is usually denoted by small letters like l, m, n.

2. Line Segments and Rays

A line segment has two endpoints. It is a measurable part of a line.
A ray has one endpoint and extends infinitely in one direction.
These form the building blocks of geometry.

3. Intersecting Lines

Two lines that meet or cross each other at a point are called intersecting lines.
The point at which they meet is called the point of intersection.
Example: The diagonals of a square are intersecting lines.

4. Parallel Lines

Lines that never meet, no matter how far they are extended, are called parallel lines.
The distance between parallel lines is always equal.
Example: Railway tracks or opposite edges of a notebook.

5. Perpendicular Lines

A special case of intersecting lines is perpendicular lines, which intersect at a 90-degree angle.
Represented using the ⊥ symbol.

6. Examples from Daily Life

Parallel lines: Zebra crossings, steps of a ladder, railway tracks.
Intersecting lines: Scissors, road junctions, corners of a room.

7. Drawing Lines Using a Ruler and Set Square

Students are guided on how to draw precise parallel and intersecting lines using a scale, set square, and protractor.
This also introduces basic construction skills used in geometry.

3.0Key Features of NCERT Solutions Class 7 Maths Chapter 5 : Parallel and Intersecting Lines

Detailed Concept Explanations: Each solution is designed to reinforce the understanding of key geometric concepts, from basic definitions of lines and angles to the intricate relationships formed by transversals intersecting parallel lines.
Step-by-Step Problem Solving: Solutions to all exercises from the NCERT Ganita Prakash textbook are presented with clear, easy-to-follow steps. This helps students grasp the logic behind each solution and develop effective problem-solving skills.
Diagrammatic Representations: Geometry relies heavily on visual understanding. Our solutions frequently include diagrams to illustrate concepts like vertically opposite angles, corresponding angles, and alternate angles, making complex ideas more accessible.
Real-World Applications: The solutions connect theoretical concepts to practical examples found in daily life, such as the angles formed by roads or architectural designs, highlighting the relevance of geometry.
Adherence to NCERT Syllabus: Our solutions are strictly aligned with the updated NCERT Ganita Prakash curriculum for Class 7, ensuring that students study the most current and relevant content for their examinations.
Focus on Properties and Theorems: Emphasis is placed on understanding and applying the properties of angles formed by intersecting and parallel lines, which are critical for solving geometric problems.
Downloadable PDF: Conveniently available in a PDF format, these NCERT Solutions allow for easy access and offline study, enabling flexible and effective learning for all students.