Math Flashcards

(60 cards)

1
Q

What is a parrallogram

A

Opposite sides are parrallel, IDENTICAL SLOPES

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2
Q

what is a rhombus

A

opposite sides are parrallel, and all sides are the same legnth

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3
Q

What is a rectangle

A

Opposite sides are parrallel, and adjacent sides are perpendicular

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4
Q

Square

A

Opposite sides are parrallel, all sides are the same legnth, adjacent sides are perpendicular

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5
Q

Is it in, out or on the circle

A

Calculate legnth,
if less = in
if more = out
if equal = on

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6
Q

What is the perpendicular bisector of a cirlce

A

Runs through the midpoint of the the chord, and goes through the circle

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7
Q

Radius

A

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

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8
Q

Trapezoid

A

1 pair of opposite side are parallel, parrallel sides are NOT the same legnth

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9
Q

Solving graphically

A

potting both lines to find the POI

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10
Q

solving by substitution

A

isolate one variable in one of the equations, substiture this value into the other equation and solve for remaining variable. Sub this value into either equation to get 2nd variable

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11
Q

solvign by elemination

A

multiply one or both equations such that the coefficients on one of the two variables are the same in both equations. Add/subtract the two equations to eliminate this variable. SUb this value into either equation to get the 2nd variable

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12
Q

slope formula

A

Y2-Y1/X2-X1

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13
Q

standard form

A

Ax+By=C

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14
Q

slope intercept form

A

y=mx+b

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15
Q

Midpoint formula

A

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

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16
Q

if two legnths are parallel their slopes are

A

the same

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17
Q

if two lines are perpendicular their slopes are

A

negative reciprocal

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18
Q

equilateral

A

3 sides are the same side

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19
Q

scalene

A

all sides are different legnths

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20
Q

isosceles

A

2 different angles

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21
Q

altitude

A

e is the perpendicular drawn from the vertex of the triangle to the opposite side.

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22
Q

right (perpendicular) bisector

A

midpoint of opposite side, perpendicular

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23
Q

median

A

midpoint to opp vertex

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24
Q

legnth

A

l= √((x_2-x_1)²+(y_2-y_1)²)

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25
sine
opp/hyp
26
cos
adj/hyp
27
tan
opp/adj
28
how to solve for angle
x^-1
29
sine law
side/sin = side/sin =side/sin
30
cosine law solving for side
a2= b2 + c2 - (2bc cos a
31
cosine law solving for angle
cos (A) = (b2+c2 - a2) / 2bc
32
finding shortest distance
equation of the line, perpendicular of that, equation of perp, then legnth
33
what is the axis of symmetry
divides the parabola in half
34
y-value of the vertex is called
optimal value
35
standard form parabola
y=ax2+bx+c
36
factored form quadratic
y=a(x-r)(x-s)
37
vertex form
y=a(x-h)2+k
38
maximum vs minimum
-a value, positive a value
39
what is a root
x intercept
40
when you can't solve by factoring you use
quadratic formula
41
quadratic formula
x= (-b + or - square root b2-4ac)/ 2a
42
what is the discriminant
b2-4ac
43
under the discriminant positive how many roots?
2
44
under the discriminant negative how many roots?
0
45
under the discriminant is 0 how many roots?
1
46
what is the base parabola
y=x^2
47
higher a value means, lower a value mean
thinner, thicker
48
a=+, a=-
+ opens up, - opens down
49
k value
out of the brackets, if k is greater than 0 moves up, bigger than 0 opens down. Vertex is 0,k
50
h value
inside brackets, if h is greater than zero graph goes right (x-h) -> if h is less than zero graph goes left (x+h) <- vertex is h,k axis of symetry is x=h
51
reflected y-int
the other x value that will give you that y value of the y int
52
finite differences
differences between the first differences, i
53
angle of elevation
horizontal is on bottom, looking up from corner
54
angle of depression
horizontal on top, looking down
55
POI of the three perp bisectors is called
circumcenter, if you were to draw a circle from point would hit all vertexes
56
POI of three altitudes
orthocenter
57
POI of three medians
centroid
58
difference of squares
(a+b)(a-b)
59
perfect square
(a+x)^2 = a^2 + ax +x^2 (a-x)^2 = a^2 - ax +x^2
60