Angles
Adjacent Angles
Two angles that have a common vertex and a common side but do not overlap
Non - collinear
Points that do not lie on the same line.
Law Detachment
If the hypothesis is true, then the conclusion is true.
Symmetric Property
If a = b, then b = a. When you look into the mirror you see yourself, just like that it's basically when numbers are flipped
Conjecture
A conclusion that is made using the Inductive reasoning
Congruent Angles
Angles are congruent if they have the same angle measure in degrees.
Distance
The distance between two points is the length of a straight line segment that links them.
Deductive Reasoning
A process of logical reasoning and drawing a conclusion from statements.
Transitive Property
If a = b and b = c, then a = c.
Coordinate
It is a pair of numbers (ordered pairs, first number shows the distance side to side , and the second number shows the distance up or down.)
Straight Angles
An angle of 180°.
Midpoint
A line segment that is divided into two equal parts, The middle point of a line.
Inductive Reasoning
To make a conclusion from the observation and sequence of pattern
Substitution Property
if a = b, then a can be substituted in for b in any equation, and b can be substituted for a in any equation.
Congruent Angles:
Angles are congruent if they have the same angle measure in degrees.
Linear Pair
Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Perpendicular Bisector
A line, segment or ray perpendicular to a segment at its midpoint.
Two column proof:
Statements that lead to a conclusion are listed in the left column. The reasons that support each statement are listed in the right column. This is an organised table that consists of two rows and 3 or more columns.
Distribution Property
Multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Proof
Evidence or an argument for the truth of a proposition.
Supplementary Angles
Two angles whose sum is 180°. The two angles together make a straight line, but the angles need not be together.
Segment Addition Postulate
f A, B, and C are collinear (on the same line) and b is between A and c, then AB + CD=AC
Law of Syllogism
The law of syllogism tells us that if p → q and q → r then p → r is also true. Allows you to draw a conclusion from two conditional statements in which the conclusion of the first statement is the hypothesis of the second statement
Congruent Supplement Theorem
If two angles are supplements of the same angles (or of congruent angles), then the two angles are congruent.
Converse
The converse of a statement is formed by switching the hypothesis and the conclusion.The converse of "if p, then q" is "if q, then p."