Blog Post 4 Be the professor Alex Freedgood

Hi Class my name is Professor Freedgood and today we will learning about Symmetry. Symmetry is a very common topic in many forms of math as well as life. You see it in art, buildings, shapes, images, and even functions! Symmetry is when an object, image, shape, function, or graph looks the same when flipped upon itself. It's as if one side is mirrored onto the other. Here are some simple images to display symmetry.

These shapes all display vertical symmetry the most simple and common form of symmetry. This is because the line dividing the shapes is a vertical line. Similar to a y-axis! But, we'll get back axis in a little bit.


Shapes, images, and functions can be divided/symmetrical in other manners as well. Horizontally and diagonally. Horizontally(x-axis) those axis again! For example a shape like a triangle can only be vertically symmetrical, unless turned on it's side. But, a shape like a circle, rectangle, or square can be horizontally symmetrical.




Symmetry is used in math when discussing functions. Using symmetry one can deduct whether a function is odd or even. When graphing a function the y-axis, x-axis, or the origin are usually the point of symmetry. See those axis are back, y-axis being vertical, x-axis being horizontal, and the origin being diagonal forms of symmetry. Here are some rules related to symmetry.
1. When a function is symmetric along the y-axis and f(x) and f(-x) are equal. then the function is even. 
2. When a function is symmetric along the origin and f(-x) and -f(x) are equal, then the function is odd.