Letâ€™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° .