Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (Select all that apply.) point line plane none
B C H 3 O
@mathmate
@hhelpplzzzz did you post a figure?
the figures are B C H 3 O
@mathmate
Oh, the letters are the figures, I beg your pardon!
Can you get started by see a few pictures here? http://www.mathsisfun.com/geometry/symmetry.html
So B is line and point, right?
B is line. For something to be point, you need to get back the same shape without rotating it 360 degrees. B needs to rotate 360 before it comes back in position. S needs only 180, so S has point symmetry, but not line symmetry.
oh ok thnx:)
is C none?
C has a (horizontal) line symmetry. Chop it in the middle and you get two equal pieces.
is line the only one?
Let's see. Line... we know yes. point... no plane - in my opinion, it only applies to solids. none - not if we found line. So yes, only line.
thnx
what about H?
What do you think for H? line? point? plane? none?
line and maybe point?
I just checked, and it turns out that plane symmetry includes line and point. So whenever you have line or point, you have plane.
both line and plane or only one?
both line and plane, and point (for H). You only need to turn 180 to get back H, so point, right?
thanks
is 3 none?
@mathmate
Think of a horizontal line cutting it in two equal pieces. If it is possible, then ...
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