Geometry Formula Sheet

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Formula Sheet ~ Geometry
Distance Formula [1.05]
d
Slope Intercept Form 2.04]
 x1  x2    y1  y2 
2
y  mx  b
2
Point Slope Form [2.04]
M
x2  x1 y2  y1
,
2
2
30
x 2
x
 y  y1 
m 2
 x2  x1 
Special Right Triangle
[4.10]
30-60-90
45
 y  y1   m  x  x1 
Slope Formula [2.03]
Midpoint Formula [1.05]
Special Right Triangle [4.10]
45-45-90
2x
45
x 3
x
60
Pythagorean Theorem [4.09]
x
a 2  b2  c2
Midsegments of a Trapezoid [5.08]
Midsegment 
1
 b1  b2 
2
Area of a Trapezoid [6.05]
A
1
h  b1  b2 
2
Interior Measure of a Polygon (sum of
the angles) [6.01]
 n  2180
360 degrees
One exterior Angle
One angle [6.01]
Area of a Rhombus
or Kite [6.04 and 6.05]
360
n
 n  2 180
1
d1 d 2
2
Exterior Measure of a
Polygon (Sum) [6.01]
n
Right Prism [6.08, 6.09 and 6.11]
Rectangle
Square
Regular Pyramid [6.08,
6.10 and 6.12]
LA = ph
Perimeter [6.02]
Perimeter 6.02]
SA = LA + 2 B
V = Bh
Area [6.03]
Area [6.03]
1
pl
2
SA = LA + B
1
V = Bh
3
Area of a Parallelogram [6.04]
Area of a Regular Polygon [6.07]
P  2b  2h or 2l  2 w
A  bh
A  bh
A
Area of a Triangle [6.05]
A
1
bh
2
1
ap
2
Right Cylinder [7.12]
1 2
s 
4
 
3
V = Bh or V =  r 2 h
SA =  r l   r
Equation of a Circle [7.02]
 x  h
2
  y  k   r2
2
SA = 4  r
4
V =  r3
3
2
2
Area of an Annulus of a Circle [7.05]
1
1
A   R2   r 2
V = Bh or V =  r 2 h
3
3
Area of a Sector of a
Circle [7.06]
m AB
2  r A  arc  r 2
360
360
Sphere [7.12]
LA =  r l
LA=  d h or LA = 2  r h
SA = LA + B
SA = LA + 2B
SA =  d h  2  r
Circle ~ Length of Arc [7.04]
Length of AB 
Right Cone [7.12]
2
LA =
A  s2
Area of an Equilateral Triangle
[6.07]
A
P  4s
Area of a Segment of a
Circle [7.06]
A
arc
1
 r 2  bh
360
2
Circle
Circumference [7.03]
C  2  r or  d
Area [7.03]
A   r2
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