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Parallelogram

quadrilateral with both pairs of opposite sides congruent and parallel, opposite angles congruent, diagonals bisect each other,

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Rhombus

parallelogram w/ 4 congruent sides, diagonals bisect angles, diagonal perpendicular

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Rectangle

parallelogram w/ 4 right angles, diagonals congruent

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Square

rhombus and rectangle therefore 4 congruent sides and 4 right angles, congruent perpendicular diagonals, diagonals bisect angles

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Kite

quadrilateral, two pairs of adjacent sides congruent,, no opposite sides congruent, side angles congruent, diagonals are perpendicular, short one bisected, angles bisected

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Trapezoid

quadrilateral w only 1 set of parallel sides

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Isosceles Trapezoid

nonparallel sides congruent, adjacent angles congruent, diagonals congruent

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3+ parallel lines

congruent segments of transversal

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Similarity

AA~, SAS~ SSS~

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Geometric mean

a/x=x/b any 2 positive numbers

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altitude of a right triangle

makes 2 similar triagnles

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side splitter thm

if a line is parallel to one side of a triangle and intersects with the other two sides then it divides those sides proportionally

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Angle bisector thm

if a ray bisects an angle of a triangle then it divides the oposide side into town segmeents that are proportional to the other two sides

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Pythagorean Thm

a^2+b^2= c^2

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45-45-90

hypotenuse is sqrt2(leg)

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Vector

magnitude and direction (degree, Direction, distance)

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Area of Parallelogram

b(h)

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Area Trapezoid

1/2h(b1+b2)

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Area of Rhombus or Kite

1/2d1(d2)

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Area of Regular Polygons

1/2ap

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Area of any triangle

1/2bcsineA

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Perimeters and Areas of Similar Figures

P=a/b A=a^2/b^2 (RATIOS)

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Measure of Central Angle

360/n

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Radius

center to circumference

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Surface Area Cylinder

2(pi)rh+ 2(pi)r^2

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Surface Area Pyramid

1/2pl+B

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Surface Area Cone

(pi)rL+(pi)r^2

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Volume of Cylinder

(pi)r^2h

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Volume of Cone

1/3(pi)r^2h

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Tangent

line that intersects at only one point on circle

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Chord

segment with endpoints on circle

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Secant

intersects at 2 places

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coordinate plane circles

(x-h)^2+(y-k)^2=r^2

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Distance formula

sqrt[(x2-x1)^2+(y2-y1)^2]

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