文档介绍：Geometry
Formulas for Area (A), Perimeter (P), Circumference (C), and Volume (V)
Square Rectangle
ϭ
ϭ 2 A lw w
A s s
ϭ P ϭ 2l ϩ 2w
P 4s l
s
Triangle Circle
a c 2
1 A ϭ r r
A ϭ bh
2 h
C ϭ 2 r
P ϭ a ϩ b ϩ c
b
b
Trapezoid 1 Parallelogram
A ϭ bh
1 h h a
A ϭ h͑b ϩ b ͒ϭϩ
2 1 2 P 2a 2b
b
2 b
Rectangular Solid
Cube h
s ϭ
V ϭ s3 V lwh
l
s w
s
Circular Cylinder r Sphere
4 3
ϭ 2 V ϭ r r
V r h h 3
Special Triangles Pythagorean Theorem
Equilateral Triangle Isosceles Triangle a2 ϩ b2 ϭ c2
c
a
aa a a
b
a b
Right Triangle Similar Triangles
a b c f
Hypotenuse ϭϭ c
d e f a d
Legs be
Common Formulas Basic Rules of Algebra
mutative Property of Addition
d ϭ distance traveled
ϭϩϭϩ
d rt t ϭ time a b b a
r ϭ rate
Commutative Property of Multiplication
Temperature ab ϭ ba
F ϭ degrees Fahrenheit
9 ϭ
F ϭ C ϩ 32 C degrees Celsius Associative Property of Addition
5
͑a ϩ b͒ϩ c ϭ a ϩ͑b ϩ c͒
Simple Interest
I ϭ interest
ϭ Associative Property of Multiplication
I Prt P ϭ principal
r ϭ annual interest rate ͑ab͒c ϭ a͑bc͒
t ϭ time in years
Left Distributive Property
Compound Interest a͑b ϩ c͒ϭ ab ϩ ac
A ϭ balance
r nt ϭ
A ϭ P1 ϩ P principal Right Distributive Property
n r ϭ annual interest rate
n poundings per year ͑a ϩ b͒c ϭ ac ϩ bc
t ϭ time in years
Additive Identity Property
Coordinate Plane: Midpoint Formula a ϩ 0 ϭ 0 ϩ a ϭ a
Midpoint of line segment ϩϩ
x1 x2 y1 y2 Multiplicative Identity Property
͑͒͑͒,
joining x1, y1 and x2 , y2 2 2
a и 1 ϭ 1 и a ϭ a
Coordinate Plane: Distance Formula Additive Inverse Property
ϭϭΊ͑Ϫ͒2 ϩ͑Ϫ͒2
d distance between d x2 x1 y2 y1 ϩ͑Ϫ͒ϭ
͑͒͑͒ a a 0
points x1, y1 and x2, y2
Multiplicative Inverse Property
Quadratic Formula 1
a иϭ 1, a 0
a
Solutions of ax2 ϩ bx ϩ c ϭ 0
Ϫb ± Ίb2 Ϫ 4ac
x ϭ Properties of Equality
2a
Addition Property of Equality
Rules of Exponents
If a ϭ b, then a ϩ c ϭ b ϩ c.
͑Assume a