Formula Sheet for Geometry Final Exam
A duplicate of this formula sheet will be attached to your final exam
Trigonometry
Right Triangle Trig
Law of Sines
Law of Cosines
sinθ = opp/hyp
cosθ = adj/hyp
sinA/a = sinB/b = sinC/c
c2 = a2 + b2 −2abcosC
tanθ = opp/adj
45º
Special Right Triangles
2x
60º
x 2
x
x
30º
45º
x 3
x
Coordinate Geometry
Given points A(x1, y1) and B(x2, y 2 ):
____
x  x 2 y1  y 2 
rise y

d 2  x 2  y 2 ; midpoint of AB   1
,
; m =
 2
run x
2 
Measuring
Circle:
Triangle:
Parallelogram:
Trapezoid:
Prism-type Objects:
Pyramid-type Objects:


C 
 2r ; A  r 2
A  12 bh or A  12 ab sin C
A  (base length )  (height)
A  (average length of the bases )  (height)
V  (base
area )  (height)
1
V  3 (base area )  (height)
V  43 r 3 ; SA  4 r 2
Sphere:
Matrix of a Linear Transformation
cos   sin  
a b 
1  d  b
1

R
A

If

 sin  cos  
 c d  , then A  ad  bc  c a 






Polygon Angles
The sum of the interior angles in any N-gon:
The sum of the exterior angles in any N-gon:
S  (N  2)180
S  360
Incircle/Circumcircle of ΔABC
radius incircle 
2  Area ABC
PerimeterABC
diametercircumcircle 
a
b
c


sin A sin B sin C