Irregular Hexagon

An irregular hexagon is a six-sided polygon where all six sides are of different lengths and none of the interior angles are equal. In other words, the sides and angles of an irregular hexagon are not congruent (equal) to each other.

Properties of Irregular Hexagon:

Has six sides and six angles
Each side can have a different length
Sum of interior angles = 720 degrees
Does not have any lines of symmetry

Formula for Finding the Sum of Interior Angles:

The sum of the interior angles of any polygon can be found using the formula: Sum = (n-2) * 180, where n is the number of sides of the polygon. For an irregular hexagon, the sum of interior angles = (6-2) * 180 = 4 * 180 = 720 degrees.

Example of Irregular Hexagon:

Below is an example of an irregular hexagon with different side lengths and non-congruent angles:

Study Guide:

To understand and work with irregular hexagons, it's important to remember the following key points:

An irregular hexagon has six sides and angles.
Each side of an irregular hexagon can have a different length.
The sum of interior angles of an irregular hexagon is always 720 degrees.
An irregular hexagon does not have any lines of symmetry.
Practice identifying and drawing irregular hexagons with varying side lengths and non-congruent angles.

By mastering these properties and concepts, you'll be able to effectively work with irregular hexagons in geometry problems and exercises.

◂Math Worksheets and Study Guides Eighth Grade. Perimeter and area

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 and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes.