Question

c) Explain how to use transformations to tessellate the regular hexagon. Draw a sketch and label the angle measures at a vertex of the tessellation to show that the sum of the measures must equal 360º. (5 points)

Answer 1

each angle is 60 degrees.

Step-by-step explanation:

question #1 answer- A tessellated next is a repeated pattern of shape You would use transformations to either rotate, mirror or move the hexagon into different positions to create the pattern.

question #2 answer- Each angle is 60 degrees and when adding all angles of 60 degrees you will get 360 degrees.

(Basically draw the same shape and label each point 60 degrees and show how 60 degrees times 6 equals 360. or you can divide 360 degrees by 6 and get 60 degrees.)

hoped this helped

Answer 2

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