prioirty

The sum of interior angle measures in a convex polygon with n sides

(n-2)180

Each interior angle measure of a regular polygon with n sides

((n-2)180)/n

The sum of exterior angle measures in a convex polygon

360

Each exterior angle measure of a regular polygon with n sides

360/n

State the equation with a,b, and with the theorem name

a+b = d Exterior Angle theorem

The area formula for a rhombus

A = (d1 x d2)/2

d’s = diagonals

The length of a mid segment/median of a trapezoid in terms of its bases

It is the average: middegment/median = (b1 + b2)/2

State an equation with a b c d state how the triangles are related

a/c = b/d

Side splitter or triangle proportionality theorem, triangles are similar

The relationship between sine and consine

Side of one angle equals cousin of the complement.

Sin A = cos (90-A) eg: Sin 40 = Cos 50

The angle of a triangle in terms of its side and/or angles

Area = ½ absinC

The ration of side lengths of a 30-60-90 triangle

Hypotenuse = 2n

Long leg =n √3

Short leg = n

The ratio of side lengths of a 45-45-90 triangles

Hypotenuse = n√2

Legs = n

• half equilateral

Area of a sector with central angle x

A= (x/360 )πr²

Density

Mass/volume

Population density

Population/land area

Distance formula

d = √(x2-x1)² + (y2-y1)²

Slope (how to find)

m = (y2-y1)/(x2-x1)

Midpoint (M)

M = ( ((x2+x1)/2) , ((y2+y1)/2) )

Average of both points

Point slope form: equation of a line with slope m through (x1,y2)

y-y1 = m(x-x1)

The equation for a circle with center (h,k) and radius r

(x-h)² + (y-k)² = r²

Law of sines

X = ½ n

3 = ½ (BC-AD)

½ (big arc - small arc)

2 = ½ (ABC - AC)

½ (big arc - small arc)

1 = 1/2 (BC-AC)

½ (big arc - small arc)

1 = ½ (AB + CD)

(w+x)w = (y+z)y

(y+z)y = t²

(Whole)outer = whole²

a x b = c x d

Circumscribed polygon

Anton whose sides are all tangent to a circle

Inscribed polygon

A polygon whose verticies are all on a circle

Circumvented of a triangle

The center of the circle formed by the intersection of 3 perpendicular bisector

Chord

A segment between 2 points of a circle

secsnt line

A line that intercepts a circle or curve at two points