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Definition
name: Medians, sig.: divides 2:1, location: acute: inside, right: inside, obtuse: inside |
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name: Angle Bisectors, sig.: equidistant from sides, location: acute: inside, right: inside, obtuse: inside |
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name: perpendicular bisectors of sides. sig: equidistant from vertices, location: acute: inside, right: on midpoint of hypotenuse, obtuse: outside |
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name: Altitudes, locatioon: acute: inside, right: at vertex of right angle, obtuse: outside |
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Definition
short x 2 = hyp, short x root3 = medium, and for 45 short x root2=hyp |
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Definition
either 2 sets of consecutives sides are congruent (but not all), OR one of the diagnols is a perpendicular bisector of the other |
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prove it is a isosc. trapazoid: |
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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 |
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Definition
ALL right angles, OR paralellogram with one right angle OR it is a parallelogram with the diagnals congruent |
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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 |
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Properties of Parallelogram |
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Definition
opposite sides are parallel, opposite sides are congruent, opposite angles are congrnent, diagnals bisect eachother, any pair of consecutive angles are supplimentary |
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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 |
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Term
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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 |
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Term
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Definition
all properties of rectangle, and rhombus apply, diagnols form 4 isosc. right triangles |
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Term
Properties of Isosc. Trapezoids: |
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Definition
Legs are congruent, bases are parallel, lower base angles and upper base angles congruent, diagnals congruent, lower base angle supp. upper base angle |
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Properties of Rectangles: |
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Definition
all properties of parallelogram, all angles are right, diagnals are congruent |
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Prove it's a parallelogram: |
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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 |
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Term
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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. |
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Term
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Definition
write out sample space, find total number of possibilities, find number of destined outcomes and circle those that apply. |
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contrapositive of p --> q |
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90, 180, 270 rotation pairs |
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Definition
90 = (-b,a) 180=(-a,-b) 270 = (b,-a) |
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Definition
sides are porportionate, ANGLES ARE THE SAME. |
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Definition
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Definition
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Definition
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Definition
square root of: (x1-x2)^2 + (y2-y1)^2 |
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measure of third side of a triangle |
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Definition
always going to be more than the sum of the other two sides |
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perpendicular bisector reasoning |
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Definition
if pb --> any point equidistant from endpoints, if 2 pts equidistant from endpts --> pb |
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