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-square -rectangle -right triangle -rhombus -equilateral triangle

2007-01-17 14:20:27 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

square. rectangle, equilateral triangle, rhombus
see http://www.learner.org/channel/courses/learningmath/geometry/session7/part_b/index.html

2007-01-17 14:28:05 · answer #1 · answered by Joni DaNerd 6 · 0 0

All but the right triangle necessarily have rotational symmetry in the plane. A right triangle MIGHT also - in 3D a 45-90-45 can be rotated out of the plane about an axis perpendicullar to the hypotenuse and intersecting the vertex of the 90 angle.
(I assume that we are ignoring those things which when rotated through 360 degrees are indistinguishable from the original - this is usually regarded as a trivial case, but not all things have this property!) Anyway, we have to be careful about defining the number of dimensions of the space we want to talk about. But these are more advanced considerations.

2007-01-17 22:33:45 · answer #2 · answered by Anonymous · 1 0

A square has rotational symmetry every 90 degrees
A rectangle has it every 180 degrees
A right triangle does not have rotational symmetry
The rhombus has 180-degree symmetry
Equilateral triangle has 120-degree symmetry

2007-01-17 22:27:37 · answer #3 · answered by firefly 6 · 0 0

I'm confused
you can find rotation sym for all of these
the trick is finding the line of rotation
But if you were to pick one that doesn't readily have one it would be the right triangle

2007-01-17 22:27:06 · answer #4 · answered by lostlatinlover 3 · 0 0

square, and equilateral triangle,, no matter how you rotate them they are the same on all sides...

2007-01-17 22:26:04 · answer #5 · answered by pixiebit@verizon.net 2 · 0 0

I am pretty sure it is a square

(not sure)

2007-01-17 22:24:55 · answer #6 · answered by lil inquirer 2 · 0 0

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