Geometry Basics • Topic 1 of 5

Points

A point is the most basic object in geometry: a single location with no length, width or thickness, shown as a dot and named with a capital letter. Points are the foundation for every other figure — lines, rays and shapes are all sets of points. Two distinct points determine exactly one straight line, a fact used constantly in coordinate and plane geometry. Points are also used to mark vertices, intersections and endpoints. Although a point has no size itself, its position is precise, which is what lets us measure distances and build figures. Remember: through any two points there is one and only one line.

Two points A and B with one straight line through themPointsABTwo points determine exactly one line.

✅ Solved examples

1. What does a point represent in geometry?
A single location with no size — no length, width or thickness.
2. How many lines pass through two distinct points?
Exactly one.
3. How are points usually named?
With a capital letter, such as point A.
4. How many points are needed to name a line segment?
Two — its endpoints.

✏️ Practice — try these, take hints as needed

1. Does a point have any length or width?
Think about its size.
A point is just a location.
—
No.
2. Through two given points, how many straight lines can be drawn?
Two points determine…
—
—
One.
3. What is used to show a point on paper?
A small mark.
—
—
A dot.
4. The corner where two sides of a shape meet is a point called the:
Corner term.
—
—
Vertex.
5. How many points define the location where two lines cross?
A crossing is a single spot.
—
—
One (the intersection).

📝 Topic test — 8 questions

Auto-graded with full solutions; saved to your dashboard. Use the calculator and formula sheet (top-right) any time.

Loading questions…
Lines →