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Geometry

Geometry

Subject: 
Geometry
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Euclidean geometry
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Icosidodecahedron
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geometry

Geometry Notes ~Reflectional Symmetry -When a shape is folded in half and both sides match perfectly. ~Line of Symmetry -line where you can fold it ~Perimeter -the distance around its exterior on a flat surface. ~Area -the number of square units needed to fill up a region on a flat surface. ~Acute Angle -Any angle with a measure between 0 degrees and 90 degrees ~Right Angle -Any angle that measures 90 degrees ~Obtuse Angle -Any angle with a measure between 90 degrees and 180 degrees ~Straight Angle -Angle that has a measure of 180 degrees and are formed when the sides of an angle form a straight line. ~Transformation 1) Translation: A transformation that?s shape and size stays the same while sliding it to a new location.

Why triangles are equilateral!

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Algebra
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Because they are triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC. In Euclidean geometry any three non-collinear points determine a unique triangle and a unique plane (i.e. a two-dimensional Euclidean space).

Trigonometry Reference Chart

Subject: 
Trigonometry
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Unit circle
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Circle
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Trigonometry sin cos circle Trig
The unit circle is a commonly used tool in trigonometry because it helps the user to remember the special angles and their trigonometric functions. The unit circle is a circle drawn with its center at the origin of a graph(0,0), and with a radius of 1. All angles are measured starting from the x-axis in quadrant one and may go around the unit circle any number of degrees. Points on the outside of the circle that are in line with the terminal (ending) sides of the angles are very useful to know, as they give the trigonometric function of the angle through their coordinants. The format is (cos, sin). Note that in trigonometry, an angle can be of any size, positive or negative. An angle larger than 360º means that you have gone round the circle more than once.

Pythagorean Theorem

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Algebra
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This formula is extremely essential especially later on. Note that this formula only applies to right triangles.  The formula is

a^2+b^2=c^2

A and B being the two legs.

C being the hypotenuse of the triangle.

The hypotenuse (c) is the side opposite the largest angle in the triangle.  In this case for a right triangle, the hypotenuse will always be opposite of the right angle.

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