Linear equations
Slope
A perpendicular bisector will divide the side of a triangle into this many equal sections.
2
The function f(x) = x^2+1 will be transformed in this way.
Translate up 1 unit
This mnemonic device is used to remember the side ratios for sine, cosine, and tangent.
soh-cah-toa
This is the number of days in a leap year.
366
The formula (y2-y1)/(x2-x1) provides the change in y over change in x, known by this term.
Slope
This special point in a triangle is equidistant from the vertices of the triangle.
The circumcenter
This ordered pair is the location of the center of the circle given by the equation
(x-1)^2+(y+1)^2= 25
(1, -1)
This identity is represented by the ratio opposite/hypotenuse.
Sine
In softball, a batter with a high RBI has a lot of these.
Runs batted in
A vertical line's slope is called this if the change in x is 0.
Undefined
A centroid is located this far along a line from a vertex to its opposite side in a triangle.
2/3 of the distance
If my function is f(x), then -f(x) will be reflected in this axis.
The x-axis
This identity can be derived by simplifying the ratio sine/cosine.
Tangent
If you're in the middle of a fight between a Capulet and a Montague, you might be stuck in this famous play.
Romeo and Juliet
If two linear equations have the same slope but different y-intercepts, their relationship is described with this term.
Parallel
This theorem states that, if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Perpendicular Bisector Theorem
If my original function is f(x), then the transformation 2f(x) will do this to the graph, vertically.
Stretch
If sin(45) = 2, then cos(45) equals this.
2
This name's origin traces back to ancient Greece, where it was a title given to soldiers who performed well defending their people.
Alexis
This is the point where the lines y = 4 and x = 3 will intersect.
(3,4)
The orthocenter is the point where these lines intersect.
The altitudes
These are the three transformations seen in the equation
f(x) = 2(x-1)^2+4
Vertical stretch (2), translate right 1, translate up 4
This is the identity associated with the ratio adjacent/opposite.
Cotangent
This distance measurement is often used to describe far-off objects in the universe; one of them is equal to about 6 trillion miles.
A light-year