Geometry: chpt 2

contrapositive

If not q, then not p
~q -> ~p

biconditional

if and only if

inverse

If not p, then not q

conditional

an if-then statement

hypothesis

p

conclusion

q

negation

not p, ~p

converse

If q, then p

⊥

perpendicular symbol

how to find perpendicular lines

Perpendicular lines will have slopes that are negative reciprocals of one another. Our first step will be to find the slope of the given line by putting the equation into slope-intercept form.

law of detachment

if P leads to Q and P is true, then Q must be true

law of syllogism

if the following two statements are true: (1) If p , then q . (2) If q , then r . Then : (3) If p , then r .

deductive reasoning

going from general information to specific conclusions, true things

inductive reasoning

a method of drawing conclusions by going from the specific to the general, using conjectures and patterns

substitution property

If a=b, then b can replace a in any expression (and vice versa)

Addition Property

If a=b, then a+c=b+c

Angle Addition Postulate

if point B lies in the interior of <AOC then m<AOB+m<BOC=m<AOC

transitive property

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

reflexive property

A quantity is congruent (equal) to itself. a = a

subtraction property

If a = b, then a - c = b - c

linear pair postulate

If 2 angles form a linear pair, then they are supplementary