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Vertical angles
Opposite angles with the same measure
Corresponding angles
angles in the same corner with the same measure
Total measure of angles
180 * (n-2)
Sum length rule
No 1 side of a triangle has a greater length than any of the other 2 sides combined
Similar Triangles
Angles are equal, sides are proportional
Mean
average
Median
The middle value in a data set (organized smallest to largest)
Mode
The number that appears with the most frequency
Standard deviation
Shows how spread out data is from the mean value - More spread out = higher standard deviation, less spread out = lower standard deviation
Area of a circle
πr²
Circumference of a circle
2πr
Arc length formula
2πr * (angle/360)
Sector area formula
πr² * (angle/360)
Equation of a circle
(x-h)² + (y-k)² = r²
Inscribed rectangle property
a²+b²=(diameter)²
Vertex form of an equation
y = a(x-h)² + k
Surface area of a rectangle
2lw + 2hl + 2wh
Discriminant
b² - 4ac
Discriminant > 0
2 solutions
Discriminant < 0
0 solutions
Discriminant = 0
1 solution
Sum of solutions
-b/a
Product of solutions
c/a
Formula for density
mass/volume
x-coordinate of Vertex of a parabola
-b/2a
Volume of a cylinder
πr²h
Surface area of cylinder
2πr + 2πr²
Volume of a cone
(1/3)πr²
Volume of a sphere
(4/3)πr³
Volume of a pyramid
(1/3)lwh
Volume of a rectangular prism
lwh