A Tale of Three Intersecting Lines — Chapter Summary
CBSE · Class 7 · Mathematics
Summary of A Tale of Three Intersecting Lines for CBSE Class 7 Mathematics. Part of the CBSE Class 7 Mathematics syllabus.
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Overview
Triangles are basic closed shapes made of three vertices and three sides. Their study includes how they are formed, how they are classified, how side lengths and angle measures determine existence, and how special lines such as altitudes and exterior angles are related to them. The chapter also show
Key Concepts
A triangle consists of three vertices
A triangle consists of three vertices and three sides joining pairs of vertices. The three sides meet to form three angles.
An equilateral triangle has all three
An equilateral triangle has all three sides of equal length. It is the most symmetric triangle.
An isosceles triangle has two equal
An isosceles triangle has two equal sides.
A scalene triangle has sides
A scalene triangle has sides of three different lengths.
A right
A right-angled triangle has one right angle. It is also called a right triangle.
Learning Objectives
- Recognize the basic parts of a triangle: vertices, sides, and angles.
- Classify triangles by sides as equilateral, isosceles, and scalene.
- Classify triangles by angles as acute-angled, right-angled, and obtuse-angled.
- Use compass-based construction for triangles with given side lengths.
- Use the triangle inequality to check whether three lengths can form a triangle.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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