Question

why or why not each of the following symmetries exist in your tessellation:

translational
reflectional
rotational
glide reflectional

Answer 1

translation means that if you look at the pattern, it stays the same as it moves from side to side, or up and down

is this tessellation the same if you shift is to the left or right?

Answer 2

Yes

Answer 3

so that checks out :)
reflectional symmetry means that there is a line you could draw such that you could flip the image across it, and the pattern would stay the same
is that the case here?

Answer 4

no?

Answer 5

(more or less...)
let's draw a line...

Answer 6

if we flip the image around this line will it stay the same?