A semi-regular triangular tessellation is a pattern formed by repeating a collection of two or more different types of equilateral triangles in a regular and symmetrical way without any gaps or overlaps.

Types of Triangles in Semi-Regular Triangular Tessellation

In a semi-regular triangular tessellation, there are typically two or more types of equilateral triangles that are used to create the tessellating pattern. These triangles have different side lengths, angles, or orientations, but they fit together in a way that allows the pattern to repeat indefinitely.

Study Guide

To understand and work with semi-regular triangular tessellations, you should be familiar with the following concepts:

Equilateral Triangles: Understand the properties of equilateral triangles, including their side lengths, angles, and symmetry.
Tessellation: Learn about the concept of tessellation, which is the process of creating a repeating pattern using one or more shapes without any gaps or overlaps.
Regular and Semi-Regular Tessellations: Differentiate between regular and semi-regular tessellations and understand the characteristics of each type.
Pattern Recognition: Develop the ability to recognize and analyze repeating patterns in geometric designs, including those formed by semi-regular triangular tessellations.
Geometry Skills: Practice using geometric principles such as congruence, similarity, and transformations to manipulate and create semi-regular triangular tessellations.

By mastering these concepts and skills, you will be able to understand and create semi-regular triangular tessellations and appreciate the mathematical beauty of these patterns.

Have fun exploring the world of semi-regular triangular tessellations!

◂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.