Tessellations
Math ⇒ Geometry
Tessellations starts at 7 and continues till grade 12.
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See sample questions for grade 7
A regular polygon has an interior angle of 135°. Can it tessellate the plane by itself?
Describe how you could create a tessellation using a parallelogram.
Describe the difference between a regular and a semi-regular tessellation.
Describe what is meant by a periodic tessellation.
Explain how rotation can be used to create a tessellation.
Explain why a regular heptagon cannot tessellate the plane by itself.
Explain why regular pentagons cannot tessellate the plane.
Explain why the sum of the angles at each vertex in a tessellation must be 360 degrees.
Which of the following is a characteristic of a semi-regular tessellation? (1) Uses only irregular polygons (2) Uses two or more types of regular polygons (3) Has gaps between shapes (4) Uses only one type of regular polygon
Which of the following is a necessary condition for a regular polygon to tessellate the plane? (1) Its interior angle must be a factor of 360° (2) It must have more than 6 sides (3) It must be irregular (4) It must be concave
Which of the following is a property of a regular tessellation? (1) Uses only one type of regular polygon (2) Uses two or more types of polygons (3) Has gaps between shapes (4) Uses irregular shapes
Which of the following is a real-world example of tessellation? (1) Honeycomb (2) Checkerboard (3) Brick wall (4) All of the above
A tessellation must cover a surface without any ______ or overlaps.
Fill in the blank: A tessellation made with only one type of regular polygon is called a ______ tessellation.
Fill in the blank: A tessellation that does not repeat its pattern is called a ______ tessellation.
Fill in the blank: The process of creating a tessellation by sliding a shape along a straight line is called ______.
True or False: A non-periodic tessellation never repeats its pattern.
True or False: A tessellation can be created using transformations such as translation, rotation, and reflection.
True or False: A tessellation can be made using irregular shapes.
True or False: A tessellation can be made using more than one type of shape.
