A. Question:
What is a tessellation? Give two everyday examples of tessellations (that do not extend indefinitely).
A. Answer:
A tessellation a repeated pattern that uses shapes to create the wanted image. A brick wall and tiled floors are two examples of everyday tessellations that don't extend indefinitely.
B. Question:
What is a regular tessellation? How many regular tessellations are possible? Why aren’t there infinitely many regular tessellations?
B. Answer:
A regular tessellation is a pattern made by repeating a regular polygon. There is 3 regular tessellations that are possible. There aren't infinitely many regular tessellations because no more than 3 regular tessellations are possible, the sums of the interior angles are either greater than or less than 360 degrees.
C. Question:
Explain how to use transformations to tessellate the regular hexagon.
C. Answer:
To use transformations to tessellate the regular hexagon, you could rotate, reflect, or move the hexagon into different positions to create the pattern.
D. Question:
What is a semi-regular tessellation? How many semi-regular tessellations are possible? Why aren’t there infinitely many semi-regular tessellations?
D. Answer:
A semi-regular tessellation is two or more regular polygons, the pattern at each vertex must be the same. There are only 8 semi-tessellations that possible. There aren't infinitely many semi-regular tessellations because the angle measures of various regular polygons.
E. Question:
Is it possible to create a semi-regular tessellation using only squares and regular hexagons? If so, draw an example. If not, explain why it is impossible.
E. Answer:
It is not possible to create a semi-regular tessellation using only squares and regular hexagons because the shape with start to disorientate.
Hope this helps :)
This is all Part 1 btw
