Postulates
Corresponding parts of congruent triangles are congruent.
What is CPCTC?
Equivalence Relations, Reflexive Property, Symmetric Property, and Transitive Property.
What is Axioms of Eqality?
If two angles are complementary/supplementary to the same angle, then they are congruent to each other.
What is Simple Angle Theorems?
What is Rectangle?
The sum of three angles of any triangle is always equal to 180 degrees.
What is a Triangle?
If two polygons are congruent, then they have the same area.
What is the Area Congruence Postulate?
If a = b, then a+c = b+c. In other words, "Equals added to equals are equals."
What is Addition Axiom of Equality?
For any two points (x1,y1) and (x2,y2), the coordinates of the midpoint between the two points are (x1+x2/2 , y1+y2/2).
What is Points Theorem?
A = 1/2 b • h
What is Triangle?
The sum of all of the sides of any polygon.
What is perimeter?
The area of a rectangle with length l and width w is A = l • w.
If a=b, then a•c = b•c. Also stated as, "Equal multiplied by equals are equal."
What is Multiplication Axion of Equality?
If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
What is Perpendicular Theorem?
a^2 + b^2 = c^2
What is Pythagorean Theorem?
Two angles that form a right angle always add up to 90 degrees.
What is Complementary angles?
In a coordinate plane, two non-vertical lines are perpendicular if and only if the product of their slopes is -1. Horizontal lines are perpendicular to vertical lines.
What is Slopes of Perpendicular Lines?
If a=b, then a can be substituted for b (or b for a) at any time without changing the value of the equation.
What is Substitution Axion?
If two parallel lines are cut by a transversal, then the alternate interior/exterior angles are congruent.
What is Parallel Line Theorems?
A = b • h
What is Parallelogram?
Two angles that form a straight line always add up to 180 degrees.
What is Supplementary angles?
The points on a line can be matched one to one with the real number line. The real number that corresponds to a point is the coordinate of that point. The distance between points A and B, written as AB, is the absolute value of the different of the coordinates of A and B.
What is the Ruler Postulate?
Given any two real numbers, a and b, exactly one of the following is true: Either a > b, a < b, or a = b.
What is Trichotomy Axiom?
The altitude drawn to the hypotenuse of a right triangle separates the triangle into two triangles that are similar to each other and to the original triangle.
What is Triangle Theorem?
A = πr^2/2
What is Semi-circle?
If two lines intersect, the opposite angles formed are always equal.
What is vertical angles?