Early Bird Gets the Term
This function takes in two numbers and outputs their positive square root
What is the geometric mean?
This line segment goes from a vertex to the midpoint of the opposite side
What is the median?
When given three pairs of congruent sides in a triangle, this postulate allows us to conclude that those triangles are similar
What is SSS?
This similarity postulate allows us to conclude two triangles are similar without knowing any side lengths
What is AA?
This function takes in the angle of a right triangle and outputs the ratio between the adjacent side and the hypotenuse
What is cosine?
When exchanging the hypothesis and conclusion of a theorem, we end up with a statement of this
What is its converse?
This term refers to the point of concurrency of a triangle's angle bisectors
What is the incenter?
Given congruence between two pairs of angles and one pair of non-included sides, this postulate allows us to conclude the triangles are congruent
Given two pairs of proportional sides, we might use the congruence of these objects to conclude SAS similarity
What are the included angles?
The tangent function takes in an angle in a right triangle and produces the ratio between these two sides
What are opposite and adjacent?
This proof method starts by assuming the opposite of the conclusion in order to derive a contradiction
What is indirect reasoning?
This line segment connects the midpoints of two sides, and is parallel to the third side
What is the midsegment?
Despite asserting three congruent pairs of objects, this is actually not a valid congruence postulate
What is SSA?
When drawn, this line segment splits a right triangle into two right triangles, all of which are similar to each other
What is the altitude?
When solving for the angle of depression given horizontal and vertical distances, this function may come in handy
What is arctan?
This allows us to determine if three given side lengths can or cannot form a triangle
What is the Triangle Inequality?
For certain triangles, this center may actually fall outside its boundary
What is the orthocenter?
For right triangles, this special congruence postulate can be used
Given a segment parallel to the base of a triangle, this theorem allows us to write a ratio equation for segments of the sides it intersects
What is the Triangle Proportionality Theorem
What is 45 degrees?
What is a Pythagorean triple?
The centroid, where the three medians of a triangle intersect, split each median into segments at this ratio to each other
What is two to one? (or one to two)
Congruence, like all other equivalence relations, obeys these three properties
What are the Reflexive Property, Symmetric Property, and Transitive Property?
These functions are well-defined thanks to right triangle similarity
What are trigonometric functions?
If you switch an angle with this related angle, the function values of sin and cos will be exchanged
What is its complement?