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equilateral triangle rotational symmetry
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From Wikipedia
Equilateral triangle  Wikipedia, the free encyclopedia
An equilateral triangle is the most symmetrical triangle, having 3 lines of reflection and rotational symmetry of order 3 about its center. ...
From Yahoo Answers
Question:Does anyone know any type of triangles that have a rotational symmetry of 2, and 3?
Thanks!
Answers:equilateral triangle has rotational symmetry of 3. (Rotate it 1/3 of a turn and it maps exactly onto itself). No triangle has rotational symmetry of 2. Any nonequilateral triangle has at least one unique angle (and side), so it has no rotational symmetry.
Answers:equilateral triangle has rotational symmetry of 3. (Rotate it 1/3 of a turn and it maps exactly onto itself). No triangle has rotational symmetry of 2. Any nonequilateral triangle has at least one unique angle (and side), so it has no rotational symmetry.
Question:I am a little confused as to what rotational symmetry is???? for example, I cannot figure out with things like
1) a tiger's face
2) a maple leaf
3) a circle
have rotational symmetry?
please and thanks
Answers:an object has rotational symmetry if after rotating it a given amount(not 360 degrees), it is identical to the starting position. Take a square, rotate it 90 degrees, and it is still a square with the same side positions. An equilateral triangle and 120 degrees is the same. A tiger's face cannot be rotated any less than 1 full rotation and still look the same as the original face(upside down does not count), and neither can a maple leaf. However, a circle can be rotated by any angle and still be symmetrical, so it has infinite rotational symmetry.
Answers:an object has rotational symmetry if after rotating it a given amount(not 360 degrees), it is identical to the starting position. Take a square, rotate it 90 degrees, and it is still a square with the same side positions. An equilateral triangle and 120 degrees is the same. A tiger's face cannot be rotated any less than 1 full rotation and still look the same as the original face(upside down does not count), and neither can a maple leaf. However, a circle can be rotated by any angle and still be symmetrical, so it has infinite rotational symmetry.
Question:In an equilateral triangle, do the 3 lines of symmetry bisect each other?
or is there any other relationship between the lines of symmetry ? Yes, i know they bisect the sides of the triangle (duh) but DOES ONE LINE OF SYMMETRY BISECT THE OTHER LINE OF SYMMETRY??
Answers:The three lines of symmetry in an equilateral triangles are the perpendicular bisectors ( they are the medians and the altitudes) and also the angle bisectors. The intersection point divides any altitude into a 2 to 1 ratio.
Answers:The three lines of symmetry in an equilateral triangles are the perpendicular bisectors ( they are the medians and the altitudes) and also the angle bisectors. The intersection point divides any altitude into a 2 to 1 ratio.
Question:how many lines of symmetry does an equilateral triangle have
3
2
6
4
Answers:3. the line of symmetry would be the angle bisector of each of the 3 angles.
Answers:3. the line of symmetry would be the angle bisector of each of the 3 angles.
From Youtube
02 Line Symmetry :This video discusses the concept of line symmetry using examples. It also describes identifying the lines of symmetry for common regular polygons like equilateral triangle, square, regular pentagon and hexagon.