Chapter 11.2
Tessellations using translations and reflections
What You'll Learn
Identify reflection, translation, and rotation transformations in tessellation patterns
Determine which transformations create specific tessellations without gaps
Recognize how reflection flips tiles across axes to form repeating patterns
Apply translation by sliding tiles to adjacent positions in tessellations
Count reflection symmetries in regular polygons like hexagons
What You'll Practice
1
Identifying transformations used in given tessellation diagrams
2
Determining whether reflection, translation, or rotation works for specific patterns
3
Counting lines of symmetry in regular polygons
4
Analyzing which transformations create gap-free tessellations
Why This Matters
Tessellations appear everywhere in art, architecture, and naturefrom tile floors to honeycomb patterns. Understanding how transformations create these repeating designs builds your spatial reasoning skills and connects geometry to real-world design and engineering applications.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Practice exercises
Skills
Tessellations
Transformations
Reflection
Translation
Rotation
Symmetry
Geometry
