Tessellations
Math ⇒ Geometry
Tessellations starts at 7 and continues till grade 12.
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See sample questions for grade 10
A tessellation is made using only regular octagons and squares. Is this a regular, semi-regular, or non-regular tessellation?
Calculate the interior angle of a regular hexagon.
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.
Explain the difference between a regular and a semi-regular tessellation.
Explain why all triangles can tessellate the plane.
Explain why regular pentagons cannot tessellate the plane by themselves.
If a regular polygon has n sides, what is the formula for its interior angle?
A student creates a tessellation using only congruent isosceles triangles. Will this tessellation always be periodic? Yes or No. Explain your answer.
A tessellation is created using only congruent parallelograms. Is this tessellation regular, semi-regular, or non-regular? Explain your reasoning.
A tessellation is made by repeatedly applying a rotation of 120° about a point to a regular triangle. What type of symmetry does this tessellation have?
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.
Describe how glide reflection can be used to generate a tessellation pattern.
Given a tessellation where each vertex is surrounded by two squares and three equilateral triangles, write the vertex configuration and determine if this is a semi-regular tessellation.
If a regular polygon has n sides, what is the minimum value of n such that the interior angle is greater than 150° but less than 180°?
Prove that a regular polygon with 15 sides cannot tessellate the plane by itself.
