Let’s summarize what we have learned about tessellations so far. Click on the blanks to check your answers.
- The sum of the angles at a vertex of a triangle tessellation shown below is
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___?___
360°
.
- The sum of the angles at a vertex of a square tessellation shown below is
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360°
.
- The sum of the angles at a vertex of a hexagonal tessellation shown below is
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360°
.
- If the polygon tessellates, then the sums of the angles where the vertices meet is always 360°.
- The sums of the angles have to be 360° to “close” the polygon, as in a circle.
- Why does a regular pentagon not tessellate the plane?
- The sum of the angles at a vertex of a pentagon is
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324°
.
- Tessellations only occur when the sum of the angles at the vertex is
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360°
.