MYP 1 Mathematics · Geometry

Points, lines, rays and segments

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What Are the Building Blocks of Geometry?

Geometry is the branch of mathematics that deals with shapes, sizes, and the properties of space. Before we can study triangles, circles, or any other shape, we need to understand the basic building blocks that make up all geometric figures.

Think of it like building with LEGO bricks — you need the individual pieces before you can create anything bigger. In geometry, those fundamental pieces are points, lines, rays, and segments.

Analogy

Imagine you're drawing a picture. Every drawing starts with a tiny dot of your pencil on the paper, and then you drag that pencil in different directions to create marks. Geometry works the same way — everything starts with a point, and then we extend or connect points to create lines, rays, and segments.

Points

Point

A point is an exact location in space. It has no size — no length, no width, no height. It is represented by a small dot and is named using a single capital letter.

A point is the simplest idea in geometry. It tells you where something is, but it doesn't take up any space itself.

  • A point is drawn as a small dot: ·
  • A point is labelled with a capital letter, such as A, B, or C
  • We say "point A" or write it as just A
Example

Think of a point like a star in the night sky. When you look up, each star appears as a tiny dot at a specific location. You might name them — Star A, Star B — but they don't have any real width or length from your perspective. That's exactly what a point is in geometry: a precise location with no dimensions.

Exam Tip

When you draw a point, your dot will always have some size because your pencil has a tip. But in geometry, we imagine the point as infinitely small — it's just a position, nothing more.

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