Geometry Flashcards
Slope formula
y=mx+b
Midpoint formula
((x1 + x2)/2, (y1 + y2)/2)
Distance formula
d=√((x_2-x_1)²+(y_2-y_1)²)
Density formula
Density=quantity/volume
Parallel slope
When ex(y=1/2x+2) raise or lower the 2 for a parallel line
Perpendicular slope
ex(y=1/2x+2) flip the fraction to be 2/1 and make it negative so the slope is -2 in this example
Point slope form
y-y₁=m(x-x₁)
Soh cah toa
The way to remember how the trig functions work
Pythag
a^2+b^2=c^2
Co functions
Sin has a cofunction of cos so if you had sin40 the cofunction would be cos50
Median (triangle)
A line that connects an angle to the midpoint of the line across from it
Centroid
The point where all medians meet
Incenter
The point where all angle bisectors meet
Orthocenter
The point where all altitudes meet
Altitude
A line that connects an vertex to a line making a perpendicular angle
Circumcenter
The point where all perpendicular bisectors meet
Angle bisector theorem
An angle bisector that splits the triangle into 2 equal segments
Exterior angle theorem
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
Area
L•W= area
Arc length
The length between 2 points on a curve
Radians
The length of the radius put into the curve of a circle (the amount of radius’ to fully envelope the circle is equal to pi)
Central angle
An gale at the center of a circle that connects to the circle
