Next to each figure below fill in (a) number of lines of symmetry and (b) all the angles of rotational symmetry. Write "none" where necessary.

- anonymous

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- anonymous

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- anonymous

did you draw those lines?

- anonymous

yes

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- anonymous

you are doing it right.

- anonymous

what are angle of rotational symmetry?

- anonymous

and how do i figure out what it is for each shape?

- anonymous

the first object has four angles
the bottom left and bottom right are symmetric
and the top left and top right are symmetric

- anonymous

in the case of the square it has 4 angles which are all symmetric

- anonymous

the equivalent triangle has 3 angles which are all symmetric to each other

- anonymous

so the first shape has a 180 degree rotational symmetry?

- anonymous

and the square has a 90 degree rotational symmetry?

- anonymous

oh man i my answers are incorrect

- anonymous

an object with rotational symmetry, also known in biological contexts as radial symmetry, is an object that looks the same after a certain amount of rotation. An object may have more than one rotational symmetry; for instance, if reflections or turning it over are not counted. The degree of rotational symmetry is how many degrees the shape has to be turned to look the same on a different side or vertex. It can not be the same side or vertex.

- anonymous

so the first one's degree of rotational symmetry is 180 degrees

- anonymous

the square has 90 180 270 and 360

- anonymous

the triangle is 60 120 and 180

- anonymous

the fourth one is 180

- anonymous

how is the triangle 180 shouldnt it be 360 rotated all the way around?

- anonymous

im sorry, yes the equatorial triangle has 120 240 and 360 degrees of rotational symmetry

- anonymous

the isocelles triangle has 360 degrees of rotational symmetry

- anonymous

does the 4th shape have two lines of symmetry?

- anonymous

it only has one

- anonymous

oh yeah i see that

- anonymous

you cant split it down the middle because its crooked.

- anonymous

and no lines of symmetry?

- anonymous

what do you mean no lines of symmetry

- anonymous

i meant no angles of rotational symmetry for the 4th shape

- anonymous

yep

- anonymous

take a picture of your paper and post it over here once you have finished doing it all

- anonymous

okay one second

- anonymous

##### 1 Attachment

- anonymous

ok i posted it

- anonymous

the first one has no angles of rotational symmetry

- anonymous

or you could right 360 degree

- anonymous

write*

- anonymous

6. 2 lines of symmetry
7. only 180 degree rotational symmetry

- anonymous

hmm this is so confusingif 7. has four lines of symmetry doesnt that mean that it has four angles of rotational symmetry also??

- anonymous

|dw:1378225549462:dw|

- anonymous

so 7. has 180 and 360 then?

- anonymous

doesnt every shape have 360 degree rotational symmetry though?

- anonymous

every shape has 360 degree rotational symmetry
because 0 degree and 360 degree are exactly the same states
so it doesnt matter if you skip 360 degree in your answer because its the same as the original position.

- anonymous

so the 7th one has 180 degree rotational symmetry

- anonymous

ok, so i should put none if a shape only has a 360 degreee rotation?

- anonymous

so number 5. ill put no rotational symmetry.

- anonymous

?

- anonymous

no. 5 would be no rotational symmetry

- anonymous

and in no. 2 and 3 you can take off 360 degree but its okay if you decide to keep it

- anonymous

oh okay thanks alot! i get it now .

- anonymous

that's great!

- anonymous

wow man, me and my brother and sister all went through american school of correspondence and all struggled with this question, and we all refer to this, thank you so much Paul1231

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