Chapter 2 Flashcards
(29 cards)
Segment addition postulate
Part+part=whole
Definition of midpoint
Exact middle of a segment
If m is midpoint of ab then am=mb
Angle addition postulate
Part+part=whole
Segment bisector
A segment that divides another segment into two congruent parts
Angle bisector
A segment that divides an angle into 2 congruent Angles
Vertical angles
Back to back vertical angles are congruent
Linear pair
Two Angles form a straight line =180
Supplementary Angles
Two angles whose sum is 180
Complementary
Two angles whose measures have a sum of 90
Perpendicular lines
Two lines that intersect to form right angles
Congruent supplement theorem
Angles supplementary to same angle are congruent
Congruent complement theorem
Angles complementary to the same angle are congruent
Right angle
Measure is 90 all right angles are congruent to each other
Definition of congruence
If two things are equal to each other they are also congruent to each other
Transitive
if two things are congruent to the same thing then they are congruent to each other
A=b b=c then a=c
Reflexive
A=a
Symmetric
A=b then b=a
Add and subtract
A=b then a+c=b+c
Multiply and divide
A=b then a•c=b•c
Substitution
A=b then a may be replaced by b in any equation
Distributive
A(b+c)=ab+ac
Conjecture
An unproven statement based on observations a guess
Counterexample
An example of a false conjecture a conjecture is false even if one situation is not true
Inductive reasoning
Finding patterns and making a conjecture based on the pattern
