Tessellations
Math ⇒ Geometry
Tessellations starts at 7 and continues till grade 12.
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A tessellation is made using only regular octagons and squares. Is this a regular, semi-regular, or non-regular tessellation?
Calculate the number of regular polygons that can tessellate the plane by themselves.
Describe how rotation can be used to create a tessellation.
Describe the process of creating a tessellation using a translation transformation.
Describe the role of symmetry in tessellations.
A student claims that a regular octagon can tessellate the plane by itself. Is this claim correct? Yes or No.
A tessellation is made using only regular octagons and squares. Is this a regular, semi-regular, or non-regular tessellation?
Consider a tessellation where each vertex is surrounded by one regular hexagon and two equilateral triangles. Is this a possible semi-regular tessellation? Justify your answer.
Which of the following combinations can form a semi-regular tessellation? (1) Squares and equilateral triangles (2) Regular pentagons and hexagons (3) Octagons and squares (4) Hexagons and triangles
Which of the following is a necessary condition for a regular polygon to tessellate the plane? (1) Its interior angle must be less than 180° (2) Its interior angle must be a divisor of 360° (3) It must have an even number of sides (4) It must be a triangle
Which of the following is a property of a tessellation? (1) Shapes overlap (2) Shapes leave gaps (3) Shapes cover the plane completely (4) Shapes are all irregular
Which of the following is an example of a non-regular tessellation? (1) Tessellation with only squares (2) Tessellation with only equilateral triangles (3) Tessellation with rectangles and parallelograms (4) Tessellation with only regular hexagons
A tessellation is also known as a ______ in mathematics.
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 uses more than one type of regular polygon is called a ______ tessellation.
Fill in the blank: In a semi-regular tessellation, the arrangement of polygons at each vertex must be ______.
A student claims that a regular octagon can tessellate the plane by itself. Is this claim correct? Yes or No.
A tessellation is a pattern made of shapes that completely cover a surface without any gaps or overlaps. True or False?
If a regular polygon has an interior angle that is a factor of 360°, can it tessellate the plane? Yes or No.
True or False: A tessellation must cover the plane infinitely in all directions.
