Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
81 Cards in this Set
- Front
- Back
Total sum of angles on polygon
|
180(n-2)
|
|
Each angle in an equilateral (equiangular) polygon
|
180(n-2)/2
|
|
Vertical angles
|
Equal
|
|
Linear pairs
|
Supplementary
|
|
Alternate interior angles
|
Congruent
|
|
Corresponding angles
|
Congruent
|
|
Central angles
|
Twice the angle at the circumference
|
|
Inscribed angle
|
Half of the angle at the centre
|
|
With tangent lines
|
90°
|
|
Cyclic quadrilaterals
|
Opposite angles are supplimentory
|
|
Perimeter of a parallelogram
|
2(a+b)
|
|
Circumference of a circle
|
2πr
|
|
Arc length (angle given in degrees)
|
n/360 X 2πr
|
|
Arc length (angle given in radians)
|
r@
|
|
Triangle (3 sides) (A)
|
s= 0.5(a+b+c)
A=√s(s-a)(s-b)(s-c) |
|
Triangle (trigonometry) (A)
|
1/2 ab sinC
|
|
Parallelogram (A)
|
A=axh
|
|
Trapezoid (trapezium) (A)
|
A= (b1+b2)/2
|
|
Kite(A)
|
A=d1xd2/2
|
|
Regular polygon (A)
|
A=apothem X Perimeter/2
|
|
Annulus (A)
|
A=π(R^2-r^2)
|
|
Sector (angle given in degrees) (A)
|
A= n/360 πr^2
|
|
Sector (angle given in radians) (A)
|
@/2r^2
|
|
Segment (A)
|
A= R^2/2 (π/180C- Sin C)
|
|
Prism (SA)
|
SA+ 2(ab+bc+ac)
|
|
Cylinder (SA)
|
2πr^2+2πrh
|
|
Pyramid (SA)
|
LW+L√(w/2)^2+h^2 + w√(1/2)^2+h^2
|
|
Cone (SA)
|
πr(r+√h^2+r^2)
|
|
Sphere (SA)
|
4πr^2
|
|
Prism (Volume)
|
LWH
|
|
Pyramid (Volume)
|
LWH/3
|
|
Sphere
|
4/3 πr^3
|
|
Law of cosines
|
a^2=b^2+c^2-2ab cosA
|
|
Midpoint
|
M=(X1+X2/2 , Y1+Y2/2) |
|
Distance
|
d=√(x2-x1)^2 + (y2-y1)^2
|
|
Standard form (Linear equations)
|
Ax+By=C
|
|
Slope-intercept form
|
u=mx+b
|
|
Direct variation
|
y=AX
|
|
Slope of parallel lines
|
The same
|
|
Slope of perpendicular lines
|
Opposite reciprocal
|
|
Standard form (Quadratic equations)
|
y=ax^2+bx+c
|
|
Intercept form
|
y=a(x-p)(x-q)
|
|
Vertex form
|
y=a(x-h)^2+k
|
|
quadratic formula
|
(-b +or-√b^2-4ac)/2a
|
|
Discriminant
|
b^2-4ac
|
|
Inverse matrix (2x2)
|
D, -B,-C,A |
|
Determinant
|
A B C A B
D E F D E G H I G H |
|
Cramer's rule (2x2)
|
Ax= E,B,F,A
Ay= A,E,C,F |
|
a^2-b^2
|
(a-b)x(a+b)
|
|
(a+b)^3
|
a^3+3a^2b+3ab^2+b^2
|
|
(a-b)^3
|
a^3-3a^2b+3ab^2-b^3
|
|
a^3+b^3
|
(a+b)^3-3ab(a+b)
|
|
a^3-b^3
|
(a-b)^3+3ab(a-b)
|
|
Acceleration
|
vf-vi/t
|
|
Mean
|
x̄= ∑x/n
|
|
Mean of grouped data
|
x̄= Z(mxf)/zf
|
|
Range
|
Largest value- smallest value
|
|
Position of median
|
(n+1)/2
|
|
Relative frequency
|
f/Zf
|
|
Cumulative frequency
|
add this class' frequency to the frequency of previous class
|
|
Class width
|
Highest value in a class- smallest value in class
|
|
Frequency density
|
frequency/total frequency
|
|
lower quartile
|
0.25xn
|
|
upper quartile
|
0.75xn
|
|
interquartile range
|
upper quartile-lower quartile
|
|
Simple interest
|
Invest=PxRxT
|
|
Compound interest
|
A=p(1+r/n)
|
|
How do you know if two functions are inverse
|
f(g(x))=x g(f(x))=x
|
|
Total sum of exterior angles of a polygon
|
360
|
|
each exterior angle of an equiangular polygon
|
360/n
|
|
perimeter of a polygon
|
sum of sides
|
|
triangle (A)
|
BxH/2
|
|
Circle (SA)
|
πr^2
|
|
Cylinder (V)
|
πr^2h
|
|
Cone
|
πr2h/3
|
|
Slope/gradient
|
M=(y2-y1)/(x2-x1)
|
|
Pythagorian theory
|
asdf
|
|
SinA
|
asdf
|
|
CosA
|
asdf
|
|
TanA
|
asdfsadf
|
|
Law of Sines
|
asdf
|