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Lecture notes

Class notes Maths

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These notes introduce the basics of geometry in a simple and logical way. They cover the idea of a line, how lines form shapes, and the fundamentals of triangles, including right-angled triangles. The focus is on understanding concepts through clear definitions, real-life applications, and easy examples rather than rote learning. This material is designed for Grade 9–10 students to build strong conceptual foundations in geometry.

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geometry


Defination

Geometry is the branch of mathematics that studies shapes, sizes, positions, and the relationships between points,
lines, surfaces, and solids.


New words (meaning):


🔹
🔹 Branch = field / part

🔹 Relationships = connection
Solids = 3-D objects (cube, sphere, etc.)

In simple words, geometry is a way of connecting shapes, their measurements, and different
forms with each other



Line

A line is a straight path that has no thickness and extends endlessly in both directions.



🌍 Real-Life Uses of a Line
Roads and paths

Straight roads show direction and help people travel from one place to another.

Light and shadows

Light travels in straight lines, which helps us understand shadows and reflection.

Construction and design

Builders use straight lines to design walls, floors, and buildings accurately.

Maps and navigation

Lines connect locations on maps and show routes and distances.

Technology and screens

Lines form letters, shapes, and graphics on phone and computer screens.

Physics and motion

In physics, a straight line represents uniform motion (constant speed in one direction).

, geometry and its parts


From Lines to Shapes

When straight lines join and form a closed figure, they create a shape.



Closed figure = a shape whose start and end points meet.




Shapes Made from Lines

🔺 Triangle
A triangle is a closed shape made of three straight lines.


It has 3 sides and 3 angles.


◼ Quadrilateral
A quadrilateral is a closed shape made of four straight lines.
Examples: square, rectangle, parallelogram



Polygon
A polygon is a closed shape made of three or more straight lines.
Pentagon = 5 sides
Hexagon = 6 sides
Heptagon = 7 sides


And so on.

Real-Life Examples of Shapes

Rooms, doors, books → rectangles
Roofs, traffic signs → triangles
Windows, tiles → squares
Stop sign → hexagon


📌 Final Summary
• Geometry studies shapes and their relationships

• A line is the basic building block

• Lines join to form closed shapes

• 3 lines → Triangle
• 4 lines → Quadrilateral

• 3 or more lines → Polygon

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School year
1
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February 3, 2026
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2025/2026
Type
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