Tessellations
Math ⇒ Geometry
Tessellations starts at 7 and continues till grade 12.
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See sample questions for grade 8
Calculate the interior angle of a regular hexagon and determine if it can tessellate the plane.
Describe a real-world example where tessellations are used.
Describe how you could create a tessellation using a parallelogram.
Describe the process to determine if a regular polygon can tessellate the plane.
Explain the difference between a regular and a semi-regular tessellation.
Explain why a regular octagon cannot tessellate the plane by itself.
Explain why all triangles can tessellate the plane.
Explain why dilation does not produce a tessellation.
Which of the following is a necessary condition for a shape to tessellate the plane? (1) The shape must be regular (2) The shape's angles must add up to 180° (3) The shape must be able to fill the plane without gaps or overlaps (4) The shape must have at least 5 sides
Which of the following is a property of a regular tessellation? (1) Uses only one type of regular polygon (2) Uses at least two types of polygons (3) Has gaps between shapes (4) Uses irregular polygons
Which of the following is a semi-regular tessellation? (1) Squares only (2) Triangles and hexagons (3) Pentagons only (4) Octagons only
Which of the following is an example of a non-regular tessellation? (1) Squares only (2) Triangles only (3) Hexagons only (4) L-shaped tiles
Fill in the blank: A regular polygon can tessellate the plane if the interior angle is a divisor of ______ degrees.
Fill in the blank: A tessellation made with two or more types of regular polygons is called a ______ tessellation.
Fill in the blank: A tessellation that uses only one type of polygon is called a ______ tessellation.
Fill in the blank: In a semi-regular tessellation, the arrangement of polygons at each vertex must be ______.
If a regular polygon has an interior angle of 120°, can it tessellate the plane by itself?
True or False: A regular pentagon can tessellate the plane by itself.
True or False: A tessellation can be made using both regular and irregular polygons.
True or False: A tessellation can be made using only reflections of a shape.
