Unit 1 and Unit 2 Vocab!

Definitions

100

Midpoint

a point that divides a segment into 2 CONGRUENT segments 

200

Segment Bisector 

a point, line, segment, or ray that intersects a segment at the midpoint. 

300

Vertical Angles

2 angles whose sides form opposite rays 

400

Complementary Angles 

2 angles that sum to 90 degrees

500

Supplementary Angles 

2 angles that sum to 180 degrees

Theorems

100

Vertical Angles Theorem 

If two angles are vertical then they are CONGRUENT

200

Right Angle Congruence Theorem

 All right angles are congruent 

300

Congruent Supplements Theorem

If two angles are supplementary to the same angle then they are congruent 

400

Congruent Complements Theorem

If two angles are complementary to the same angle then the two angles are congruent 

Postulates/More Definitions

100

Segment Addition Postulate 

If C is between A and B then AC + BC = AB

200

Angle Addition Postulate 

m<ABC +m<CBD =m<ABD

two parts of one angle add up to the whole angle. 

300

Linear Pair Postulate 

if two angles form a linear pair then they are supplementary

400

Linear Pair

2 angles that are adjacent and supplementary 

500

Angle Bisector 

a ray that divides an angle into 2 congruent angles

Properties

100

Symmetric Property 

a=b then b=a

200

Transitive Property

a=b and b=c, then a=c 

300

Addition Property of Equality 

if a=b then a+c=b+c

400

Property of Congruence 

congruent segments are equal in length. 

congruent angles are equal in degree.

Statements/Laws

100

Law of Detachment 

if "p" then "q"

"p"

therefore "q"

200

Law of Syllogism 

If "p" then "q"

If "q" then "r" 

therefore If "p" then "r"

300

Law of Contrapositive 

If "p" then "q"

~ q

therefore ~ p 

400

Equivalence Statements 

Statements with the same truth value 

i.e. 

Conditional - Contrapositive 

Converse - Inverse

500

Biconditional Statement 

a logical statement that is written as p if and only if q

both conditional and converse must be true.