Point

A point is a fundamental concept in geometry. It is a precise location in space, represented by a dot. In geometry, a point has no length, width, or height - it is simply a position.

Characteristics of a Point

1. A point has no dimension.

2. It is represented by a dot.

3. It is named by a capital letter.

Notation

In geometry, a point is typically named using a capital letter. For example, a point can be named as point A, B, C, etc.

Coordinate Representation

In a coordinate plane, a point is represented by an ordered pair (x, y), where x is the horizontal distance from the origin and y is the vertical distance from the origin.

Study Guide Questions

What is a point in geometry?
What are the characteristics of a point?
How is a point represented in a coordinate plane?

Practice Problems

1. Identify the point in the following coordinate pairs: (3, 5), (-2, -4), (0, 0).

2. Name three points in the given figure: [insert an image of a geometric figure with points labeled A, B, and C]

◂Math Worksheets and Study Guides Seventh Grade. Finding Volume

Volume of Solid Figures

The resources above cover the following skills:

Geometry (NCTM)

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

Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties.

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

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop strategies to determine the surface area and volume of selected prisms, pyramids, and cylinders.