Algebra 1 EOC Reference Sheet Mathematics Algebra 1 and Geometry End-of-Course Assessments Reference …

 
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Geometry End Of Course Formula Sheet

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Perimeter of a Parallelogram
P = Sum of all sides
Area of a Parallelogram
A = bh
Area of a Trapezoid
A = h(b1+b2)/2
Perimeter of a Triangle
P = sum of all sides
Area of a Triangle
A = 1/2bh
Perimeter of a Rectangle
P = 2l + 2w
Area of a Rectangle
A = lw
30˚60˚90˚
Across from 30˚ = x
Across from 60˚ = x√3
Across from 90 = 2x
45˚45˚90˚
Across from 45˚ = x
Across from 90˚ = x√2
Circumference of a circle
C = πd/2πr
Area of a circle
A = πr^2
SohCahToa
Sin˚ = opposite/hypotenuse
Cos˚= adjacent/hypotenuse
Tan˚ = opposite /adjacent
Pythagorean Theorem
a^2 + b^2 = c^2
Distance between points on a coordinate plane
d = √(x2-x1)^2 + (y2-y1)^2
Midpoint
The average of the x coordinates, average of y coordinates
(x2+x1/2, y2+y1/2)
Slope of a non-vertical line (where x^2 does not equal x^1)
m = (y2-y1/x2-x1)
Area of a square
A = s^2
Area of a regular polygon
A = 1/2ap a = apothem, p = perimeter
Sum of the measures of the interior angles of a polygon
180(n-2)
where n = the number of sides
Measure of an interior angle of a regular polygon
180(n-2)/2
where n = the number of sides
Sum of the measures of the exterior angles of a polygon
360
Measure of an exterior angle of a regular polygon
130/n
Lateral Area, Surface Area and Volume of a Cone
L.A. = πrl
T.A. = L.A. + πr^2
V = 1/3(πr^2)h
Lateral Area, Surface Area and Volume of a Prisms
L.A. = Perimeter of base times height
T.A. = L.A. = 2A of base
V = Area of Base times height
Lateral Area, Surface Area and Volume of a Sphere
Area = 4πr^2
Volume = (4/3)πr^3
Lateral Area, Surface Area and Volume of a Cube
L.A. = 4s^2
T.A. = 6s^2
Volume = s^3
Lateral Area, Surface Area and Volume of a Pyramid
L.A. = 1/2 pl
T.A. = LA = B
V = 1/3 Bh
Lateral Area, Surface Area and Volume of a Cylinder
L.A. = 2πrh
T.A. = L.A. + 2πrh
V = π^2h
<2 = 1/2 (a – b)
Secant & Tangent Angles
<1 = 1/2a
Secant & Tangent Angles
<3 = 1/2 (a + b)
ab = cd
Secant & Tangent segment lengths
b (a + b) = d (c + d)
Secant & Tangent segment lengths
a^2 = c(b + c)
Secant & Tangent segment lengths
Arc Length
m/360 x 2πr
Sector Area
m/360 x π2^2
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