Question

After you have created the tessellation, explain, using complete sentences, why or why not each of the following symmetries exist in your tessellation:

translational
reflectional
rotational
glide reflectional

Answer 1

Here is the shape i made and drew. Can someone help me with the question part?

Answer 2

First off, do you know what a translational symmetry is?

Answer 3

It's if you can move the pattern left, right, up, down, or diagonally without changing its appearance. right?

Answer 4

exactly, so can you take the entire drawing and move it up, down, left, or right and keep it the same?

Answer 5

yeas

Answer 6

so this figure has translational symmetry

Answer 7

it doesnt have reflection right?

Answer 8

can you reflect this figure over any line that passes through the figure and keep it the same?

Answer 9

no

Answer 10

good, so it doesn't have reflectional symmetry

Answer 11

what about rotational?

Answer 12

i dont think so

Answer 13

im stuck on that one

Answer 14

wait yea?

Answer 15

good, this is because you can't rotate the figure any number of degrees to make it match up (the number of degrees is less than 360)

Answer 16

so it doesn't have rotational symmetry, which means your first answer is correct.

Answer 17

ok what about the last one?

Answer 18

do you know what a glide reflection is?

Answer 19

no i need help with that one

Answer 20

alright, a glide reflection is simply a combination of a translation and a reflection. So when you perform a glide reflection, you translate then you reflect (or you can reflect, then translate)

Answer 21

so can you perform a glide reflection and keep the image the same?

Answer 22

no i dont think

Answer 23

Yes you are correct. Since a reflection does not keep it the same, a glide reflection does not keep it the same.

Answer 24

ok thank you

Answer 25

you're welcome