geometry unit 2 stuff

Conditional statement

a statement that can be written in if-then form ( p -> q)

converse statement

If q, then p

inverse statement

If not p, then not q

Contrapositive statement

If not q, then not p

biconditional statement

A statement that contains the phrase "if and only if"

good definition

A good definition uses clearly understood terms, is precise and is reversible, no something or sometimes. Clear words

adjacent angles

Angles that have a common side and a common vertex (corner point).

vertical angles

A pair of opposite congruent angles formed by intersecting lines

given

what is stated in the proof

symmetric property

if a=b, then b=a

reflexive property

a=a

transitive property

If a=b and b=c, then a=c

Substitution Property

If a=b, then a can be substituted for b in any equation or expression

segment addition postulate

lets us add together parts of segments to equal the whole segment (AB + BC = AC)

angle addition postulate

lets us add together parts of angles to equal the whole angle (ABC + DBE = ABE)

definition of a midpoint

lets us state that 2 segments are congruent because of the midpoint

definition of a segment bisector

lets us state that 2 segments are congruent because of the segment bisector

definition of an angle bisector

lets us state that 2 angles are congruent because of the angles bisector

definition of congruence

is a is congruent to b then a = b

definition of a linear pair

lets us state that two angles form a Linear pair

linear pair postulate

lets us write the equation where two angles FORMING THE LINEAR PAIR add up to 180 degrees

Supplementary angles

lets us write an equation where two angles add up to 180 degrees

complementary angles

lets us wrtie an equation where two angles add up to 90

congruent supplements theorem

if two angles are supplements of the same angle, then the two angles are congruent

congruent complements theorem

if two angles are complements of the same angle, then two angles are congruent

Def of vertical angles

lets us state that two angles are vertical

vertical angles theorem (VAT)

lets us state that the vertical angles are congruent

all right angles are congruent

lets us state that all right angles are congruent

conjecture

an opinion or conclusion formed on the basis of inductive reasoning