40 terms

# Geometry-A Final

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Parallelogram
quadrilateral with both pairs of opposite sides congruent and parallel, opposite angles congruent, diagonals bisect each other,
Rhombus
parallelogram w/ 4 congruent sides, diagonals bisect angles, diagonal perpendicular
Rectangle
parallelogram w/ 4 right angles, diagonals congruent
Square
rhombus and rectangle therefore 4 congruent sides and 4 right angles, congruent perpendicular diagonals, diagonals bisect angles
Kite
quadrilateral, two pairs of adjacent sides congruent,, no opposite sides congruent, side angles congruent, diagonals are perpendicular, short one bisected, angles bisected
Trapezoid
quadrilateral w only 1 set of parallel sides
Isosceles Trapezoid
nonparallel sides congruent, adjacent angles congruent, diagonals congruent
3+ parallel lines
congruent segments of transversal
Similarity
AA~, SAS~ SSS~
Geometric mean
a/x=x/b any 2 positive numbers
altitude of a right triangle
makes 2 similar triagnles
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
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
Pythagorean Thm
a^2+b^2= c^2
45-45-90
hypotenuse is sqrt2(leg)
30-60-90
x, x(sqrt3), 2x
Vector
magnitude and direction (degree, Direction, distance)
Area of Parallelogram
b(h)
Area of Triangle
1/2bh
Area Trapezoid
1/2h(b1+b2)
Area of Rhombus or Kite
1/2d1(d2)
Area of Regular Polygons
1/2ap
Area of any triangle
1/2bcsineA
Perimeters and Areas of Similar Figures
P=a/b A=a^2/b^2 (RATIOS)
Measure of Central Angle
360/n
center to circumference
Area of Circle
(pi)r^2
Surface Area Prism
ph+2B
Surface Area Cylinder
2(pi)rh+ 2(pi)r^2
Surface Area Pyramid
1/2pl+B
Surface Area Cone
(pi)rL+(pi)r^2
Volume of Prism
V=Bh
Volume of Cylinder
(pi)r^2h
Volume of Pyramid
1/3Bh
Volume of Cone
1/3(pi)r^2h
Tangent
line that intersects at only one point on circle
Chord
segment with endpoints on circle
Secant
intersects at 2 places
coordinate plane circles
(x-h)^2+(y-k)^2=r^2
Distance formula
sqrt[(x2-x1)^2+(y2-y1)^2]