Formula Sheet Flashcards

(23 cards)

1
Q

Midpoint Formula

A

(x1 + x2) / 2 = Xm

(y1 + y2) / 2 = Ym

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2
Q

Distance Formula

A

the square root of

(x2 - x1)^2 + (y2 - y1)^2

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3
Q

pythagorean theorem

A

c^2 = a^2 + b^2

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4
Q

Slope Formula

A

x2 - x1

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5
Q

Slope Intercept

A

y = mx + b

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6
Q

point-slope form

A

y - y1 = m(x - x1)

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7
Q

Standard Form

A

Ax + By = C

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8
Q

Ratio of Lengths

A

Scale Factor

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9
Q

Ratio of Areas

A

Scale Factor sqrd

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10
Q

Ratio of Volumes

A

Scale Factor cubed

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11
Q

SOHCAHTOA

A

S=o/h C=a/h T=o/h

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12
Q

Isosceles Triangle (45-45-90)

A

H=sqrt(2)L , L= H / sqrt (2)

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13
Q

30-60-90 Triangle

A

H=2SL , LL=SL * sqrt(3)

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14
Q

Polygon Int Angle Theorem

A

(n-2)180

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15
Q

Polygon Ext Angle Theorem

A

sum of ext angles = 360

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16
Q

Rotation

A

(x,y), 90(-y,x), 180 (-x, -y), 270 (y, -x)

17
Q

Tessellation

A

360/intangle = whole #

18
Q

equation of a circle

A

(x-h)sqrd + (y-k)sqrd = (r)sqrd

19
Q

Central Angle

20
Q

inscribed Angle

A

angle = 1/2 (arc)

21
Q

Interior Angle

A

angle = 1/2 (arc+arc)

22
Q

Exterior Angle

A

angle = 1/2 ( big angle - small angle)

23
Q

Intersecting Chords

A

AEBE = CEDE, (AE)sqrd = (BE)sqrd