Geometry Vocab
properties of equality, properties of congruence, & ch. 2 vocab words
Terms
undefined, object
copy deck
- inverse
- the statement formed by negating the hypothesis and the conclusion
- Subtraction Property of Equality
- if a=b then a-c =b-c
- reflexive property of equality
- a=a
- contrapositive
- the statement formed by both exchanging and negating the hypothesis and the conclusion
- reflexive property of congruence
- figure a is =~ a
- proof
- agrument that uses logic definitions properties and previously proven statements to show that a conclusion is true
- deductive reasoning
- the process of using logic to draw conclusions from given facts, definitions, and properties
- symmetric property of congruence
- if figure a =~ figure b then figure b~= a
- logically equivalent statements
- related conditional statements that have the same truth value are called logically equivalent statements
- inductive reasoning
- process of reasoning that a rule or statement is true because specific cases are true
- multiplication property of equality
- if a=b then ac=bc
- Addition Property of Equality
- if a=b then a+c= b+c
- conditional statement
- a statement that can be written in the form "if p then q"
- conclusion
- is the part q of a conditional statement following the word then
- biconditional statement
- a statement that can be written in the form "p if and only if q"
- symmetric property of equality
- if a=b then a=c
- division property of equality
- if a=b and c doesn't equal 0 then a/c= b/c
- substitution property of equality
- if a=b then b can be substituted for a in any expression
- conjecture
- a statement you believe to be true based on inductive reasoning
- transitive property of congruence
- if figure a~= figure b and figure b is ~= to figure c then a is ~= to figure c
- counterexample
- an example that proves a conjecture false
- truth value
- whether a statement is true or false
- converse
- the statement formed by exchanging the hypothesis and conclusion