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Chapt Name: Date: er Tessellations Practice 1 Identifying Tessellations 2009 Marshall Cavendish International (Singapore) Private Limited In each tessellation, color the repeated shape. Example 1.

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Every shape of quadrilateral can be used to tessellate the plane. In both cases, the angle sum of the shape plays a key role. Since triangles have angle sum 180° and quadrilaterals have angle sum 360°, copies of one tile can fill out the 360° surrounding a vertex of the tessellation.

2. Which regular polygons will tessellate on their own without any spaces or overlaps? Equilateral triangles, squares and regular hexagons are the only regular polygons that will tessellate. Therefore, there are only three regular tessellations.

A square has an interior angle of 90°, so 4 squares fit together to make 360°: 360 ÷ 90 = 4. An equilateral triangle has an interior angle of 60°, so 6 triangles fit together to make 360°: 360 ÷ 60 = 6. A hexagon has an interior angle of 120°, so 3 hexagons fit together to make 360°: 360 ÷ 120 = 3.

To tessellate means that congruent figures are put together to create a pattern where there aren't any gaps or spaces in the pattern. Figures can be put side by side and/or upside down to create the pattern. The pattern is called a tessellation. If you look at the honeycomb, you can see that hexagons are tessellating.

A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps. A regular tessellation is a pattern made by repeating a regular polygon. A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same!

There are only three shapes that can form such regular tessellations: the equilateral triangle, square, and regular hexagon. Any one of these three shapes can be duplicated infinitely to fill a plane with no gaps. Many other types of tessellation are possible under different constraints.

Yes, a scalene triangle does tessellate. The reason we can create a tessellation with a scalene triangle is because we can connect any two congruent...

A shape is said to tessellate the plane if the plane can be covered without holes and no overlapping (save for the boundary points) with congruent copies of the shape. Squares, rectangles, parallelograms, trapezoids tessellate the plane; each in many ways.

A pattern of shapes that fit perfectly together! A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps.

Equilateral triangles, squares and regular hexagons are the only regular polygons that will tessellate. Therefore, there are only three regular tessellations. 3.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232