Geometry Formulas Flashcards

1
Q

center radius form

A

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

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2
Q

standard form

A

x^2 + y^2 + x term + y term + number term = 0

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3
Q

length of chords

A

(part1)(part 2) = (part1)(part2)

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4
Q

length of secants and tangent

A

(outside)(whole) = (outside)(whole)

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5
Q

central angle

A

central angle = arc

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6
Q

inscribed angle

A

inscribed angle = 1/2 arc

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7
Q

interior angle

A

interior angle = (arc+arc) / 2

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8
Q

exterior angle

A

exterior angle = (arc - arc) / 2

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9
Q

converting: degree to radian

A

deg/180 = radian / pi

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10
Q

arc length

A

arc length = (degrees/360) (pi x d)

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11
Q

area of a sector

A

area of sector = (deg/360) (pi r^2)

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12
Q

slope formula

A

slope = y2-y1 / x2 -x1 = rise/run

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13
Q

midpoint formula

A

(x1+x2 / 2, y1+y2 / 2)

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14
Q

distance formula

A

d = square root of (x2-x1) ^2 + (y2-y1)^2

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15
Q

equation of a line

A

y = mx+b m= slope b=y-intercept

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16
Q

directed line segment

A

x = starting x + (fraction) (change in x)
y = starting y + (fraction) (change in y)

17
Q

area of a trapezoid

A

a = 1/2h(b1 + b2)

18
Q

population density

A

population density = population/area

19
Q

density

A

degree of compactness of a substance Mass divided by volume

20
Q

volume of a rectangular prism

A

v = l x w x h

21
Q

volume of a cube

22
Q

altitude proportion

A

proj/alt = alt/proj

23
Q

leg proportion

A

proj/leg = leg/whole hyp.

24
Q

sin angle

A

opposite/hypotenuse

25
cos angle
adjacent/hypotenuse
26
tan angle
opposite/adjacent
27
law of sines
a/sin a = b/sin b = c/sin c
28
sine and cosine are _____ for complementary angles
equal
29
scale factor
scale factor = image/preimage or new/old
29
scale factor
scale factor = image/preimage or new/old
30
median of a trapezoid
1/2 (base1 + base2)
31
rotational symmetry
360/#of ways it can sit there and look the same
32
horizontal and vertical lines
Horizontal line O slope (zero slope) Y = # is the equation of every horizontal line Vertical lines Undefined slope (no slope) X = # is the equation of every vertical line
33
rules of the lengths of the sides of any triangle
given 3 sides: small side + small side > largest side given 2 sides: difference < 3rd side < sum
34
sum of interior angles of a polygon
sum = 180 (n -2)
35
sum of exterior angles of a polygon
sum = 360
36
one interior of a regular polygon
180 (n-2) / n
37
one exterior angle of a regular polygon
1 exterior angle = 360/n
38
adjacent interior and exterior angles of a polygon
interior angle + exterior angle = 180