Question

What could be the ordered pairs representing vertices B and C of quadrilateral ABCD so that Sandstone Park is similar to Rock Park?

B(7, 1), C(8, 0)

B(3, -1), C(4, -2)

B(8, 1), C(8, 0)

B(6, 2), C(7, 1)

Answer 1

A view of Anytown, USA is shown on the grid below with Rock Park represented by quadrilateral RSTU. Due to overcrowding, another park will be built similar to Rock Park. Vertices A and D are plotted on the grid to represent two corners of new Sandstone Park.

Answer 2

@jim_thompson5910 hello :D can you help me out please?

Answer 3

Notice how RU is the length of 2 diagonals (along a unit square). Do you see this?

Answer 4

yes

Answer 5

so how many diagonals is AD?

Answer 6

ie how long is AD in terms of diagonals

Answer 7

1

Answer 8

So AD is half of RU

Answer 9

Which means that if ABCD is similar to RSTU, then every side of ABCD is half as long as its corresponding side on RSTU

Answer 10

So that means that AB, which corresponds to RS, is half as long as RS.


RS is 4 units long. So AB is half that at 2 units.

Answer 11

Do you see how I'm getting this?

Answer 12

yes Im starting to understand

Answer 13

So where does B go?

Answer 14

(7,1)?

Answer 15

good, what about C?

Answer 16

(8,0) :)

Answer 17

you nailed it

Answer 18

yay, a quick question? does a glide reflection exist on a hexagonal tessellation? Im getting contradiction sources

Answer 19

contradicting*

Answer 20

hmm well you can translate for sure and I believe you can also reflect, so I don't see why not...do you have a picture of it?

Answer 21

I know you can translate, rotate, and reflect. but I'm not sure about a glide reflection.

Answer 22

a glide reflection is simply a combo of a translation and a reflection

Answer 23

in either order

Answer 24

wiki says not. & another source says that is is combining aspects of both translation and reflection. & that image is a translation/reflection so that makes me assume yes.

Answer 25

yeah I'd go with yes as well, which page says "no"?

Answer 26

okay . hmmm I will try to find it. it pretty much said. " a glide reflection is not a translation nor reflection"

Answer 27

hmm weird, well it is a combination of both

Answer 28

http://www.csun.edu/~lmp99402/Math_Art/Tesselations/tesselations.html

Answer 29

yes I agree. lol

Answer 30

I'm guessing you're referring to this


"In glide reflection, reflection and translation are used concurrently much like the following piece by Escher, Horseman. There is no reflectional symmetry, nor is there rotational symmetry"

Answer 31

Yeah

Answer 32

well I think in that horse pic, there isn't any reflectional symmetry because the horses themselves don't have reflectional symmetry

Answer 33

but hexagons do have reflectional symmetry

Answer 34

regular hexagons that is

Answer 35

so that would make me think that glide reflectional symmetry exists in a hexagon tesselation

Answer 36

ohhh okay. sounds good.

Answer 37

alright

Answer 38

thank you :)))

Answer 39

you're welcome

Answer 40

would you be so kind? again..:) http://openstudy.com/study#/updates/4fe4eab7e4b06e92b87361ee