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Grade 10 > Math > Flashcards

Math Flashcards

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
Q

sine

A

opp/hyp

26
Q

cos

A

adj/hyp

27
Q

tan

A

opp/adj

28
Q

how to solve for angle

A

x^-1

29
Q

sine law

A

side/sin = side/sin =side/sin

30
Q

cosine law solving for side

A

a2= b2 + c2 - (2bc cos a

31
Q

cosine law solving for angle

A

cos (A) = (b2+c2 - a2) / 2bc

32
Q

finding shortest distance

A

equation of the line, perpendicular of that, equation of perp, then legnth

33
Q

what is the axis of symmetry

A

divides the parabola in half

34
Q

y-value of the vertex is called

A

optimal value

35
Q

standard form parabola

A

y=ax2+bx+c

36
Q

factored form quadratic

A

y=a(x-r)(x-s)

37
Q

vertex form

A

y=a(x-h)2+k

38
Q

maximum vs minimum

A

-a value, positive a value

39
Q

what is a root

A

x intercept

40
Q

when you can’t solve by factoring you use

A

quadratic formula

41
Q

quadratic formula

A

x= (-b + or - square root b2-4ac)/ 2a

42
Q

what is the discriminant

A

b2-4ac

43
Q

under the discriminant positive how many roots?

A

2

44
Q

under the discriminant negative how many roots?

A

0

45
Q

under the discriminant is 0 how many roots?

A

1

46
Q

what is the base parabola

A

y=x^2

47
Q

higher a value means, lower a value mean

A

thinner, thicker

48
Q

a=+, a=-

A

+ opens up, - opens down

49
Q

k value

A

out of the brackets, if k is greater than 0 moves up, bigger than 0 opens down.

Vertex is 0,k

50
Q

h value

A

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
Q

reflected y-int

A

the other x value that will give you that y value of the y int

52
Q

finite differences

A

differences between the first differences, i

53
Q

angle of elevation

A

horizontal is on bottom, looking up from corner

54
Q

angle of depression

A

horizontal on top, looking down

55
Q

POI of the three perp bisectors is called

A

circumcenter, if you were to draw a circle from point would hit all vertexes

56
Q

POI of three altitudes

A

orthocenter

57
Q

POI of three medians

A

centroid

58
Q

difference of squares

A

(a+b)(a-b)

59
Q

perfect square

A

(a+x)^2 = a^2 + ax +x^2

(a-x)^2 = a^2 - ax +x^2

60
Q
A

Grade 10 (6 decks)

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