Formulas
Theorems
Postulates
Definitions
Points of Concurrency
100
a^2 + b^2 = c^2
What is the pythagorean theorem?
100
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
What is Hypotenuse-Leg (HL) Theorem?
100
If two lines and a transversal form congruent corresponding angles, then the lines are parallel.
What is the converse of the corresponding angles postulate?
100
A point that connects two or more concurrent lines.
What is a point of concurrency?
100
A segment whose endpoints are a vertex and the midpoint of the opposite side. Its point of concurrency is a centroid.
What is a median?
200
√(x2 - x1)^2 + (y2 - y1)^2
What is distance formula?
200
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
What is the alternate interior angles theorem?
200
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
What is the side-side-side (SSS) Postulate?
200
Two coplanar angles with a common side, a common vertex, and no common interior points.
What are adjacent angles?
200
The point of concurrency of perpendicular bisectors that is equidistant from the vertices of the triangle.
What is a circumcenter?
300
πr^2 π is pi
What is the formula for area of a circle?
300
If two angles and a non included side of one triangle are congruent to two angles and a non included side of another triangle, then the triangles are congruent.
What is the angle-angle-side (AAS) Theorem?
300
If two angles and an included side of one triangle are congruent to two angles and an included side of another triangle, then the triangles are congruent.
What is angle-side-angle (ASA) Postulate?
300
A segment that bisects a segment into two congruent segments.
What is a segment bisector?
300
The point of concurrency of _____ _________ is the incenter, which is always located inside a triangle and is equidistant from the sides of a triangle.
What are angle bisectors?
400
1/2bh
What is the area of a triangle?
400
If two parallel lines are cut by a transversal, then ____ ____ ________ angles are supplementary.
What are same side interior?
400
If two sides and an included angle of one triangle are congruent to two sides and an included angle of another triangle, then the triangles are congruent.
What is the side-angle-side (SAS) Postulate?
400
Allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement
What is the law of syllogism?
400
The point of concurrency of altitudes.
What is an orthocenter?
500
Quadratic Formula
What is -b +-√(b^2 - 4ac)/2a
500
If two angles are supplementary to the same angle, then they are congruent.
What is the congruent supplements theorem?
500
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
What is the Angle-Angle Similarity Postulate?
500
If the hypothesis of a true conditional is true, then the conclusion is true.
What is the law of detachment?
500
The medians of a triangle are concurrent at a point that forms a _ __ _ _____
What is a 2 to 1 ratio?