12.7. Tessellations http://www.ck12.org
- Draw a tessellation using regular hexagons.
- Draw a tessellation using octagons and squares.
- Make a tessellation of an irregular quadrilateral using the directions from Example A.
Summary
This chapter discusses transformations of figures in the two-dimensional space. It begins with an explanation of re-
flection and rotation symmetry. The chapter then branches out to discuss the different types of rigid transformations:
translation (sliding a figure to a new position), rotation (rotating a figure with respect to an axis), and reflection
(flipping a figure along a line of symmetry). Once the different types of basic transformations are discussed, the
composition of these actions to create a new type of transformation is explored. The chapter wraps up with a
detailed presentation of tessellations.
Chapter Keywords
- Line of Symmetry
- Line Symmetry
- Rotational Symmetry
- Center of Rotation
- angle of rotation
- Transformation
- Rigid Transformation
- Translation
- Vector
- Reflection
- Line of Reflection
- Reflection over they−axis
- Reflection over thex−axis
- Reflection overx=a
- Reflection overy=b
- Reflection overy=x
- Reflection overy=−x
- Rotation
- Center of Rotation
- Rotation of 180◦
- Rotation of 90◦
- Rotation of 270◦
- Composition (of transformations)
- Glide Reflection
- Reflections over Parallel Lines Theorem
- Reflection over the Axes Theorem