# Shared Flashcard Set

Review Project
Geometry
31
Mathematics
05/21/2015

## Additional Mathematics Flashcards

Term
 Reflection
Definition
 A flip over a line
Term
 Rotation
Definition
 Means to turn around a center: The distance from the center to any point on the shape stays the same.
Term
 Translation
Definition
 (notation ) is a transformation of the plane that slides every point of a figure the same distance in the same direction.
Term
 Angle Sum in a Triangle
Definition
 The angle sum in a triangle is 180 degrees
Term
 Isosceles Triangle Theorem
Definition
 A triangle is isosceles if and only if the angles opposite the congruent sides are congruent
Term
 Midsegment Theorem
Definition
 A midsegment of a triangle is parallel to the third side and is half as long.
Term
 EXterior Angle Theorem
Definition
 The measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles. [For ABC with exterior angle Aʹ, m
Term
 Congruent Triangle
Definition
 A triangle is congruent when all three sides are exactly the same.
Term
 "SSS" Triangle
Definition
 "sss" is when we know three sides of the triangle, and want to find the missing angles. "Side,Side,Side"
Term
 "SAS" Triangle
Definition
 "sas" is when we know two sides and the angle between them.  "Side,Angel,Side"
Term
 "ASA Triangle"
Definition
 "ASA" is when we know two angles and a side between the angles. "Angle,Side,Angel"
Term
 "AAS" Triangle
Definition
 "AAS" is when we know two angles and one side (which is not between the angles).
Term
 "HL" Triangle
Definition
 Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles.
Term
 Equliateral Triangle
Definition
 All three of its sides are equal in length and all angels have the same measures (Equiangular)
Term
 Isosceles Triangle
Definition
 At least two of its sides are equal in length
Term
 Scalene Triangle
Definition
 Three sides are different in length and three different angle measures
Term
 Acute Triangle
Definition
 All three internal angles are actue (Less than 90 degrees!)
Term
 Right Triangle
Definition
 Has one angle equivalent to 90 degrees
Term
 Obtuse Triangle
Definition
 One of the internal angles is obtuse (Greater than 180 degrees!)
Term
 Supplementary Angles
Definition
 Two angles are supplementary if they add up to 180°.
Term
 Linear Angle Pair
Definition
 A linear pair is a pair of adjacent angles that form a straight line, and are thus supplementary.
Term
 Vertical Angle
Definition
 Vertical angles are formed when two lines intersect forming four angles; each opposite pair are vertical angles. (Vertical angles are congruent!)
Term
 Pythagorean theorem
Definition
 Helps you find a missing side of a triangle with the equation:   a2 + b2 = c2
Term
 SOH-CAH-TOA
Definition
 One way to remembering how to compute the sine, cosine, and tangent of an angle.  SOH stands for Sine equals Opposite over Hypotenuse. CAH stands for Cosine equals Adjacent over Hypotenuse. TOA stands for Tangent equals Opposite over Adjacent.
Term
 0 = Angle of Elevation
Definition
 Hypotenuse = Distance from start up to object Opposite = Height of the object Adjacent = Distance along your line of sight to object
Term
 0 = Angle of Depression
Definition
 Hypotenuse = Distance from start down to object Opposite = Height of object Adjacent = Distance to the object along your line of sight
Term
 Period 2(pi)/b
Definition
 Length of a cycle
Term
 Law of Cosines
Definition
 Using the equation [image] you can find the third side of a triangle when you know two sides and the angle between them. As well as when you are trying to find an angel when you know all three sides.
Term
 Law of Sines
Definition
 It is the relationship between the sides and angles of non-right.  Using the equation  [image], you are able to find the correct answer.
Term
 Amplitude ( lal )
Definition
 Height of wave from the midline
Term
 Period and Amplitude
Definition
 Using this equation helps you find your answer: Y= a * sin(bx-c) + d
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