AQA · Mathematics · 8300
GCSE Maths: Angles: tessellations
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Angles: tessellations (Corbettmaths Video 36), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the interior angle of an equilateral triangle?
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60°
Why do equilateral triangles tessellate?
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Because 6 triangles meet at a point and 6 × 60° = 360°, so the angles around each vertex sum to exactly 360°.
What is the interior angle of a square?
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90°
What is the interior angle of a regular hexagon?
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120°
Why do regular hexagons tessellate?
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Because 3 hexagons meet at a point and 3 × 120° = 360°, so the angles around each vertex sum to exactly 360°.
What is the interior angle of a regular pentagon?
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108°
Why do regular pentagons NOT tessellate?
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Because 108° does not divide evenly into 360°. No whole number of pentagons can meet at a point with angles summing to exactly 360°.
What are the three regular polygons that can tessellate on their own?
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Equilateral triangles, squares, and regular hexagons.
What is a semi-regular tessellation?
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A tessellation made from two or more types of regular polygon.
For a polygon to tessellate, what must be true about its interior angles at each vertex?
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The angles meeting at each vertex must sum to exactly 360°.
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