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 Interactive button. Assistance may be required. ___?___ 360° . • The sum of the angles at a vertex of a square tessellation shown below is Interactive button. Assistance may be required. ___?___ 360° . • The sum of the angles at a vertex of a hexagonal tessellation shown below is Interactive button. Assistance may be required. ___?___ 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 Interactive button. Assistance may be required. ___?___ 324° .
• Tessellations only occur when the sum of the angles at the vertex is Interactive button. Assistance may be required. ___?___ 360° .