You have:



You have: |You need: |Examples: |Use: | |

|2 sides of a right triangle|the last side | |Pythagorean Theorem: [pic] |

| | | |*Remember c is always the hypotenuse (longest side) |

|3 sides of a triangle |To determine if | |Converse of Pythagorean Theorem: *Be sure to check to see if a triangle exists FIRST!!* |

| |right, acute or | | |

| |obtuse | |Right Triangle: [pic] Acute Triangle: [pic] Obtuse Triangle: [pic] |

|a 45˚-45˚-90˚ triangle and |another side | |hypotenuse=leg[pic] |

|one side | | |Figure out if you need a leg or a hypotenuse and plug it in! |

| | | |*Remember if you have a leg, and you are looking for a leg - they are equal in an isosceles triangle! |

|a 30˚-60˚-90˚ triangle and |the last two sides| |hypotenuse= 2(short leg) |

|one side | | |long leg= short leg[pic] |

| | | |Figure out which side is which by looking at the angles (remember short leg is across from the 30˚ angle, |

| | | |long leg is across from the 60˚). Once you know which one you are starting with, pick an appropriate |

| | | |equation to plug it into. |

|one angle and one side and |another side | |Trig Ratios (SOH CAH TOA) |

|it is NOT a special right | | |Label your parts of the triangle with your Opposite, Adjacent, Hypo. Figure out which trig ratio you are |

|triangle | | |using and set up your equation. |

|2 sides |an angle | |Inverse Trig Ratios |

| | | |Look at what angle you want to find and label your sides with your Opposite, Adjacent, Hypo accordingly. |

| | | |Set up your trig ratio then multiply each side by its inverse. |

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Chapter 1: Essentials of Geometry

distance formula: [pic]

midpoint formula: [pic]

slope formula: [pic]

collinear: on the same line

bisect: cut in half

complementary: add up to 90Ú[?]

supplementary: add up to 180Ú[?]

Chapter 2: Logic

conditional: If p, then q. p(q (e formula: [pic]

collinear: on the same line

bisect: cut in half

complementary: add up to 90˚

supplementary: add up to 180˚

Chapter 2: Logic

conditional: If p, then q. p(q (Original)

If the car is running, then the key is in the ignition.

converse: If q, then p. q(p (Flip)

If the key is in the ignition, then the car is running.

inverse: If not p, then not q. ~p(~q (Negate)

If the car is not running, then the key is not in the car.

contrapositive: If not q, then not p. ~q(~p (Flip & Negate)

If the key is not in the car, then the car is not running.

Law of Syllogism: If a, then b. If b, then c. If a, then c.

If Jenelle gets a job, then she can afford a car. If Jenelle can afford a car, then she will drive to school. CAN CONCLUDE: If Jenelle gets a job, she will drive to school.

Law of Detachment: If the hypothesis is true, then the conclusion is true.

If the measure of an angle is greater than 90˚ the angle is obtuse. The m ................
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