Geometry: Proofs/logic
How many parts are there in the format of a two-column proof?
6
In a proof the figure should fit the hypothesis.
Always
The conclusion of a statement is the then part.
Always
The hypothesis of a statement is the if part.
Always
Which of the following statements has the same truth value as the statement, "If it is Friday, then Bruce has beans for supper." ?
If Bruce does not have beans for supper, then it is not Friday.
A proof should have more steps in the reason column than steps in the statement column.
Never
In the plan of a proof, you should use the plan that was used on previous theorems.
Sometimes
Which of the following in NOT an essential part of a two-column proof?
Staircase logic
T/F An indirect proof has been successful if you reach a contradiction of a known fact.
True
T/F Indirect proofs are often used to prove theorems.
True
T/F One method to develop a plan for a proof is to work "backwards" by starting with the conclusion
True
T/F Order is important in a two-column proof.
True
T/F The "given" information should be considered as true.
True
T/F To prove a statement in geometry means to demonstrate that the statement follows logically from other accepted statements.
True
T/F When developing a plan for a proof, it is important to look at the "given" information.
True
What types of statements can be used to support conclusions made in proving statements by deductive reasoning?
definitions postulates previously proved theorems
When drawing a figure, it is best to draw the most __________ figure, unless given other information.
general
The "if" in the "if-then" statement is the:
given information
The expression "an established fact" refers to:
given information postulates definitions a theorem that has already been proven
The following can be used as "reasons" in a two-column proof:
given information postulates definitions previously proven theorems
The given information is the _____ of the if-then statement.
if
The Statement of Theorem should be in what form?
if-then
An indirect proof assumes:
the negative of the conclusion is true
The "to prove" part of the information is the _____ of the "if-then" statement
then
What type of proof is used extensively in Geometry?
two-column proof