Question

1. Choose one kind of triangle to use for a tessellation: equilateral, isosceles, or scalene. 2. Use technology or paper to create six congruent copies of your chosen triangle and investigate how the shape tessellates. 3. Use your chosen triangle to create an artwork with tessellations. You can use any size, colors, patterns, or art mediums. 4. Provide the explanation of the math behind your tessellation that the gallery will display next to you art work.

Answer 1

To create a tessellation using an equilateral triangle, start with an equilateral triangle and create six congruent copies. Arrange them to fit together seamlessly. The math behind the tessellation is based on the geometry of the equilateral triangle and the concept of congruence.

Step-by-step explanation:

To create a tessellation using an equilateral triangle, follow these steps:

1. Start with an equilateral triangle as your chosen triangle.
2. Create six congruent copies of the equilateral triangle.
3. Arrange the six triangles to fit together seamlessly without any gaps or overlaps.
4. Continue this pattern to fill the space with a repeating pattern of equilateral triangles.

For your artwork, you can use any size, colors, patterns, or art mediums. Be creative and experiment with different arrangements and designs. The math behind the tessellation is based on the geometry of the equilateral triangle and the concept of congruence.