can figure causing rotational symmetry heaven angle rotation of measure 180 degree
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Step-by-step explanation:
An object has rotational symmetry if that figure is itself after you rotate it less than 180 degrees. If it is itself after exactly 180 degrees no more no less then that figure has point symmetry.
An object has rotational symmetry if that figure is itself after you rotate it less than 180 degrees. If it is itself after exactly 180 degrees no more no less then that figure has point symmetry.
Symmetry in a figure exists if there is a reflection, rotation, or translation that can be performed and the image is identical. Rotational symmetry exists when the figure can be rotated and the image is identical to the original. Regular polygons have a degree of rotational symmetry equal to 360 divided by the number of sides.
In Geometry, we can look at a figure and say that it has symmetry if there is an isometry that will map part of the figure back onto itself. Well an isometry remember is a rigid transformation that is, a translation, a rotation or a reflection. We could be more specific however for certain objects and say that they have rotational symmetry.
An object has rotational symmetry if that figure is itself after you rotate it less than 180 degrees. If it is itself after exactly 180 degrees no more no less then that figure has point symmetry. So let's look at a couple different figures here and try and determine if it has rotational symmetry and if so what the degree is, so here we have an equilateral triangle and in my hand if I rotate this, I can definitely map it back to itself, so if I draw in some lines here that'll intersect right there I see that if all 3 of these are congruent which they are since it's an equilateral triangle, then they all must be 120 degrees so yes this has rotational symmetry and after every 120 degrees of rotation it will be itself so how many degrees of rotational symmetry does this have? it has 120 degrees.
If we look at this figure right here, we have 1, 2, 3 congruent line segments intersecting each other and it's pretty clear again that I could rotate this and have it mapped back onto itself. Well since they are 6 congruent angles we're going to have to do 360 divided by 6. Well 360 divide by 6 is 60 degrees so this figure right there has 60 deg