IF-THEN STATEMENTS; CONVERSES



IF-THEN STATEMENTS; CONVERSES.


OTHER FORMS OF CONDITIONALS; BICONDITIONALS
*If 5x = 20, then x = 5...............................................if p then q
*5x= 20 implies x = 5............................................... p implies p or p--> q
*5x = 20 only if x = 5.................................................. p only if q
*x = 5 if 5x = 20............................................................. q if p



PROPERTIES FROM ALGEBRA
PROPERTIES OF EQUALITY
These are the properties used to solve equations.




PROPERTIES FROM ALGEBRA
PROPERTIES OF EQUALITY
These are the properties used to solve equations.



PROPERTIES FROM ALGEBRA
PROPERTIES OF EQUALITY
These are the properties used to solve equations.



PROPERTIES FROM ALGEBRA
PROPERTIES OF EQUALITY AND CONGRUENCE
These properties tell you how the "equal" and "congruent" symbols work and
when they can be used.



INDUCTIVE REASONING/DEDUCTIVE REASONING




PROVING THEOREMS



PROOFS: DEDUCTIVE REASONING


ANGLE PAIRS


ANGLE PAIRS
VERTICAL ANGLES: the two angles opposite ("across") from each other formed
when two lines intersect.




THEOREM : VERTICAL ANGLE THEOREM
Vertical angles are congruent.




PLANNING A PROOF



PLANNING A PROOF
THEOREM : If two angles are supplements of congruent angles ( or of the same angle), then the two angles are congruent.




PLANNING A PROOF
THEOREM : If two angles are complements of congruent angles ( or of the same angle), then the two angles are congruent.