12.7. Tessellations http://www.ck12.org
Practice
Will the given shapes tessellate? If so, how many do you need to fit around a single point?
- A regular heptagon
- A rectangle
- A rhombus
- A parallelogram
- A trapezoid
- A kite
- A regular nonagon
- A regular decagon
- A completely irregular quadrilateral
- In general, which regular polygons will tessellate?
- Use equilateral triangles and regular hexagons to draw a tessellation.
- The blue shapes are regular octagons. Determine what type of polygon the white shapes are. Be as specific as
you can. - 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