In geometry, a point is a specific location in space. It is often represented by a dot and is considered to have no size or dimensions. A point is denoted by a capital letter.

There are several characteristics of a point that are important to understand:

**Location:**A point represents a precise location in space.**No Size:**A point has no length, width, or height. It is infinitely small.**Coordinates:**In a coordinate system, a point is represented by an ordered pair of numbers (x, y) for a two-dimensional plane, or an ordered triple of numbers (x, y, z) for a three-dimensional space.

Here are some examples of points:

- Point A
- Point B
- Point C
- Point P(3, 5) - represented by coordinates (3, 5) in a two-dimensional plane
- Point Q(2, 4, 6) - represented by coordinates (2, 4, 6) in a three-dimensional space

Here are some activities to help you understand points better:

- Draw points on a piece of graph paper and label them with letters.
- Label points on a map to indicate specific locations.
- Practice plotting points on a coordinate plane.
- Use a three-dimensional model to visualize points in space.

Remember the following key points about points:

- A point is a specific location in space with no size.
- It is represented by a dot and denoted by a capital letter.
- Points can be located using coordinates in a coordinate system.

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Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to solve problems in other areas of mathematics, such as number and measurement.