Question

Please help D: How many lines of symmetry are in this shape? Also, does it have rotational symmetry, and if it does, what is the angle of rotation?

Answer 1

If you cut the diagram down the middle, the left side and right side are reflections of each other... that's one line of symmetry.

If you cut it in half across the middle, horizontally, the same is true for the top and bottom half.. that's two lines of symmetry.

Also look at what happens if you cut diagonally from the top left to bottom right, and from the top right to bottom left. Along both those cuts, the triangular portions above and below the cut are reflections, so those diagonal lines are the 3rd and 4th lines of symmetry.

Answer 2

If it has rotational symmetry, it means you can spin it around some amount and it will look the same. Can you spin this diagram around by some amount and make it look the same? If so, then the amount you turned it is the angle of rotation for symmetry.

Answer 3

Yes you can spin it around and it will show the same shape :) so the angle would be 90 degrees?

Answer 4

exactly right...

Answer 5

do the lines of symmetry make sense also?

Answer 6

yeah, i guess what i was confused with was the other little tiny squares

Answer 7

didn't know if i had to do symmetry for those as well

Answer 8

awesomesauce!

Answer 9

I'm pretty sure it is just for the shape overall :)

Answer 10

it has 4 lines of symmetry and it also has rotational symmetry with the 90 degree angle of rotation.

Answer 11

thanks guys, closing the question now ^_^

Answer 12

Glad to help :)