Unit 2 Flashcards
(29 cards)
What is negation?
The negative of a sentence
What is converse?
Switch the “If” & “Then” parts
What is Inverse?
Negate “If” & “Then” parts
What is contrapositive?
Switch & negate “If” & “Then” parts
What 2 are equivalent expressions?
*Converse & Inverse
What is a biconditional statement?
- Uses “if and only if”
* Can only be true of both the statement AND the converse are true
“if…then” symbol
- —–>
ex. : p —> q
“not” symbol
~
ex.: ~p —> ~q
What is inductive reasoning?
Recognizing patterns to form conjectures
What is deductive reasoning?
Using facts/definitions to write a logical argument
What is the law of detachment?
- If p —> q is true,
and you know p is true,
then you can conclude that q is true
What is the law of syllogism?
*If p —> q is true,
and q —> r is true,
then p —> is true.
**2 “IF…THEN” STATEMENTS
IF: B is between A and C
THEN: AB + BC = AB
Segment Addition Postulate
IF: AB=CD
__ __
THEN: AB is congruent to CD
By the definition of congruent segments
IF: D is in the interior of <ABC
Angle addition postulate
IF: m<a><b><a><B</a></b></a>
Definition of Congruent Angles
__
IF: M is the midpoint of AB
__ ___
THEN: AM is congruent to MB
Definition of Midpoint
IF: It is a segment bisector
THEN: It intersects at the midpoint
Definition of segment bisector
IF: It is an angle bisector
THEN: There are 2 congruent adjacent angles
Definition of angle bisector
IF: 2 lines are perpendicular
THEN: They form a right angle
Definition of perpendicular
IF: It is a right angle
THEN: It is 90
Definition of right angle
IF: a = b
THEN: b = a
Symmetric Property
IF: a = b, b = c
THEN: a = c
Transitive Property
IF: <2
Right angle congruence theorem
*(All right angles are congruent)
