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Elementary geometry

Sin Cos and Tan

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Algebra
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Sin Cos Tan
In a right triangle where theta is given and a side is given you can solve for anything. To solve for the hypotenuse use the phrase SOH CAH TOA. If the angle and the opposite are given use opposite side divided by sin of the angle. and vice versa for all other sides and angles. Soh cah toa stands for Sin opposite over Hypotenuse Cosin adjacent over hypotenuse Toa opposite over adjacent all of these are with respect to theta.

Geometry

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Geometry
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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.

Geometry

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Geometry
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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.

Pythagorean Theorem

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Algebra
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Pythagorean theorem
Definition The longest side of the triangle is called the "hypotenuse", so the formal definition is: In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²): a2 + b2 = c2 Sure ... ? Let's see if it really works using an example. A "3,4,5" triangle has a right angle in it, so the formula should work. Let's check if the areas are the same: 32 + 42 = 52 Calculating this becomes: 9 + 16 = 25 Yes, it works ! Why Is This Useful?

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