Geometry Vocabulary Ch. 2

Front 1

If-Then Transitive Property
(A,B,C,D if then)

Back 1

Given: If A then B, and if B then C
You can conclude if a then c

Front 2

Addition Property
b+?)

Back 2

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

Front 3

Subtraction Property
(a-?)

Back 3

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

Front 4

Multiplication Property
ac=?)

Back 4

If a=b then ac=bc

Front 5

Division Property
(a/c)

Back 5

If a=b then a/c=b/c

Front 6

Substitution Property
(True equation)

Back 6

If a=b you may replace a with b in any true equation containing a and the resulting equation will still be true

Front 7

Overlapping Segments Theorem
(Two statements)

Back 7

Given a segment with the points A, B, C, and D the following statements are true:
1. If AB=CD then AC=BD
2. If AC=BD then AB=CD

Front 8

Reflexive Property of Equality
B=?)

Back 8

For all real numbers a and b, if a=b then b=a

Front 9

Symmetric Property of Equality
(B=?)

Back 9

For all real numbers a and b, if a = b then b=a

Front 10

Transitive Property of Equality
(A=?)

Back 10

For all real numbers a,b, and c if a=b and b=c than a=c

Front 11

Reflexive Property of Congruence
(Congruent to _______)

Back 11

Figure A is congruent to figure A

Front 12

Symmetric Property of Congruence
(Congruent to _____)

Back 12

If figure A equals figure B then B is congruent to figure A

Front 13

Transitive Property of Congruence
(Congruent to ______)

Back 13

If figure A is congruent to figure b an db is congruent to c then a is congruent to c

Front 14

Overlapping angles theorem
(Skips second ray)

Back 14

Given <AOB is equal to mCOD then m<AOC = mBOD
if m<AOC =mBOD then <AOB = mCOD

Front 15

Adjacent angles
(Shares a...)

Back 15

Angles that share a side

Front 16

Biconditional
(IFF)

Back 16

If and only if is used

Front 17

Conditional
(If then)

Back 17

If then statement

Front 18

Converse
(Opposite)

Back 18

Opposite of the conditional statement

Front 19

Counterexample
(Used for proving a...)

Back 19

Counterexample used to prove the converse of the conditional wrong

Front 20

Conclusion
(Then)

Back 20

Last part of the conditional

Front 21

Deduction
(Proof)

Back 21

Factual; used in proofs

Front 22

Deductive reasoning
(Used in)

Back 22

Cause to effect

Front 23

Equivalence relation
(Related to)

Back 23

relation between things that are transitive, reflexive etc

Front 24

Hypothesis
(Guess)

Back 24

An educated guess based off of data

Front 25

Inductive reasoning
(general)

Back 25

Generally speaking; detailed facts and principles

Front 26

Logical chain
(If _____ then _______)

Back 26

Statements organized in a logical structure

Front 27

paragraph proof
(From a....)

Back 27

A type of proof in which a paragraph is given; step by step

Front 28

proof
(Checking our...)

Back 28

Checking our reasoning

Front 29

theorem
(General)

Back 29

General proposition not self-evident

Front 30

two-column proof
(Statement and ______)

Back 30

Statement and justification

Front 31

vertical angles
(Across)

Back 31

Across from each other; always congruent