Picture Proof: Quadrilaterals Tessellate through Angle Sum Property
Exploring the concept of tessellation with quadrilaterals by splitting them into triangles based on the angle sum property. The collection of images provides visual proofs demonstrating how all quadrilaterals tessellate effectively.
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Note to Teacher Challenge the pupils to draw a quadrilateral that won t tessellate. They could draw these on the whiteboard. You can then replicate it using the Geogebra file. Once they are happy that you can do it every time you can show them a picture proof of the fact that all quadrilaterals tessellate.
A Picture Proof that all Quadrilaterals Tessellate A quadrilateral can be split into two triangles, each containing 180 , therefore the sum of the internal angles in a quadrilateral is 360 . Let s add more tiles identical to the original above, in a systematic way.
A Picture Proof that all Quadrilaterals Tessellate Wherever four tiles meet, each one offers a different angle. These angles are the interior angles of each tile, which we know sum to 360 , so there are NO GAPS.
