Geometry Reference Sheet 2011-2012

R
E
F
Geometry
Reference
Sheet
Formulas
Area = bh
Parallelogram
Prism
Volume = Bh
Surface Area = 2B + Ph
Area = –1bh
Triangle
2
Right
Cylinder
Volume = πr2h
Surface Area = 2πr2 + 2πrh
Trapezoid
1
Area = –h(b
1 + b2)
Sphere
4 3
Volume = –πr
3
Surface Area = 4πr2
Circle
Area = πr2
Circumference = πd
or
Circumference = 2πr
Right Cone
1 2h
Volume = –πr
3
Surface Area = πr∙ + πr2
General
Equations
Ax + By = C
y = mx + b
y – y1 = m(x – x1)
(x – h)2 + (y – k)2 = r2
Square
Pyramid
1
Volume = –Bh
3
1
Surface Area = –P∙
+B
Pythagorean
Theorem
a2 + b2 = c2
2
Slope
Formula
Distance
Formula
Midpoint
Formula
Right
Triangle
Relationships
y –y
m = x2 – x1
2
1
D = √(x2 – x1)2 + (y2 – y1)2
For a line segment with
endpoints (x1, y1) and
(x2, y2) the midpoint is
Trigonometric
Ratios
x1 + x2 , y1 + y2
2
2
∙
∙
79
2
30°
x
60°
x√3
90°
2x
45°
x
45°
x
90°
x√2
sin A =
opposite
hypotenuse
cos A =
adjacent
hypotenuse
tan A =
opposite
adjacent