# Shared Flashcard Set

## Details

Parallelograms and concurrency
parallelorgram and other shape properties, and concurrency properties!
29
Mathematics
01/27/2010

Term
 Centroid
Definition
 name: Medians, sig.: divides 2:1, location: acute: inside, right: inside, obtuse: inside
Term
 Incenter
Definition
 name: Angle Bisectors, sig.: equidistant from sides, location: acute: inside, right: inside, obtuse: inside
Term
 Circumcenter
Definition
 name: perpendicular bisectors of sides. sig: equidistant from vertices, location: acute: inside, right: on midpoint of hypotenuse, obtuse: outside
Term
 Orthocenter
Definition
 name: Altitudes, locatioon: acute: inside, right: at vertex of right angle, obtuse: outside
Term
 30 60 90 and 45 rules
Definition
 short x 2 = hyp, short x root3 = medium, and for 45 short x root2=hyp
Term
 Prove it's a kite:
Definition
 either 2 sets of consecutives sides are congruent (but not all), OR one of the diagnols is a perpendicular bisector of the other
Term
 prove it is a isosc. trapazoid:
Definition
 either only one set is parallel and the other is congruent, OR only one set is parallel and one of the consecutive angles is congruent, OR one set of sides parallel and diagnals congruent
Term
 Prove it's a rectangle:
Definition
 ALL right angles, OR paralellogram with one right angle OR it is a parallelogram with the diagnals congruent
Term
 Prove it's a rhombus:
Definition
 either diagnals perpendicular bisect eachother, OR its a parallelogram with a set of consecutive sides congruent, OR its a parallelogram with a diagnol bisecting two angles
Term
 Properties of Parallelogram
Definition
 opposite sides are parallel, opposite sides are congruent, opposite angles are congrnent, diagnals bisect eachother, any pair of consecutive angles are supplimentary
Term
 Properties of Kites
Definition
 two disjoing pairs of consecutive sides congruent, diagnals are perpendicular, one diagnal perpendicular bisects the other, one diagnol bisects a pair of opposite angles, one pair of opposite angles are congruent
Term
 Properties of Rhombuses
Definition
 all properties of parallelogram, all properties of kites (half facts become full), all sides are congruent (equilateral), diagnols bisect the angles, diagnals divide rhombus into 4 congruent right triangles
Term
 Properties of Squares:
Definition
 all properties of rectangle, and rhombus apply, diagnols form 4 isosc. right triangles
Term
 Properties of Isosc. Trapezoids:
Definition
 Legs are congruent, bases are parallel, lower base angles and upper base angles congruent, diagnals congruent, lower base angle supp. upper base angle
Term
 Properties of Rectangles:
Definition
 all properties of parallelogram, all angles are right, diagnals are congruent
Term
 Prove it's a parallelogram:
Definition
 both sets of opposite sides parallel,OR both sets of opposite sides parallel, OR one set of opposite sides conruent and parallel, OR both sets of opposite angles congruent, OR diagnals bisect eachother
Term
 Indirect Proof
Definition
 list 2 different conclusions, (way it's written and opposite.) then assume the opposite, work through the proof, and get to concluding the opposite of a given, so you prove it isn't true.
Term
 Probability
Definition
 write out sample space, find total number of possibilities, find number of destined outcomes and circle those that apply.
Term
 converse of p --> q
Definition
 q --> p
Term
 inverse of p --> q
Definition
 ~p --> ~q
Term
 contrapositive of p --> q
Definition
 ~q --> ~p
Term
 90, 180, 270 rotation pairs
Definition
 90 = (-b,a) 180=(-a,-b) 270 = (b,-a)
Term
 If shapes are similar
Definition
 sides are porportionate, ANGLES ARE THE SAME.
Term
 sum of exterior angles
Definition
 360 degrees
Term
 sum of interior angles
Definition
 180(n-2)
Term
 total number of diagnals
Definition
 n(n-3) /2
Term
 distance formula
Definition
 square root of: (x1-x2)^2 + (y2-y1)^2
Term
 measure of third side of a triangle
Definition
 always going to be more than the sum of the other two sides
Term
 perpendicular bisector reasoning
Definition
 if pb --> any point equidistant from endpoints, if 2 pts equidistant from endpts --> pb
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