Describe objects that have each of the following types of symmetry. Line, Point, Plane, 90° rotational
Point symettry is oft called rotational symettry. Things can be rotated x degrees, and the image is the same.
Examples:
http://www.mathsisfun.com/geometry/images/king-of-hearts.jpg
THe letters X, I, have point symettry, they can be rotated 180 degrees. They also have plane symettry, later.
here is my favorite point symettry:
http://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Haeckel_Actiniae.jpg/420px-Haeckel_Actiniae.jpg
Line symmetry:
symmetry about a line http://images.google.com/images?hl=en&client=firefox-a&hs=Xhh&rls=org.mozilla:en-US:official&resnum=0&q=line+symmetry&um=1&ie=UTF-8&sa=N&tab=wi
plane symettry: same as line, but three dimensional.
http://www.johnchiappone.com/images/humanities/Brooklyn-Bridge.jpg
90 rotational: a variation of point.
http://t2.gstatic.com/images?q=tbn:CLBaialB2ikgUM:http://euler.slu.edu/escher/upload/thumb/5/51/Baby-starfish.jpg/250px-Baby-starfish.jpg
Now usually, these are added together,in clever methods. Here is one clever art-math student
http://vectortuts.s3.cdn.plus.org/articles/article_40_clever_ambigrams/infinitycircler.jpg
Sure!
1. Line symmetry: An object has line symmetry if it can be divided into two identical halves by a single line. Examples of objects with line symmetry include a square, rectangle, and an isosceles triangle. To determine if an object has line symmetry, you can imagine drawing a line through it and see if the two halves are identical.
2. Point symmetry: An object has point symmetry (also known as rotational symmetry) if it looks the same after being rotated by a certain angle around a fixed point. A classic example of an object with point symmetry is a circle. You can rotate a circle by any angle around its center, and it will still look the same. Another example is an equilateral triangle.
3. Plane symmetry: Plane symmetry refers to objects that look the same after being reflected across a plane. In other words, you can imagine folding an object along a specific plane and both sides will match perfectly. Examples of objects with plane symmetry include a square, rectangle, and a regular hexagon.
4. 90° rotational symmetry: An object has 90° rotational symmetry if it can be rotated by 90 degrees and still look the same. A square has this type of symmetry since you can rotate it by 90 degrees, and it will still look like a square. Other examples are an "X" shape or a plus (+) shape.
Remember, these symmetry types can be seen by visualizing and analyzing the objects. You can use a mirror, folding, or rotating them to determine if they possess the specific symmetry you are looking for.