Cards in this guide (21)
In logical mathematics there are two examples I present first Roses are flowerssecond Red roses are flowers what do you cll the first and second statement
the first is "all statement" and the second is " existential
statement"
If a is bigger than b and b bigger than c which statement must be true
if a is bigger than b and b is bigger than c a must be bigger
than c... Transitivity
What is the inverse statement of if you like carrots then you like vegetables
if i dont not like carrots then i do not like vegetables
If the statement If it is midnight then the sun is not shining is assumed to be true is its negation If it is not midnight then the sun is shining also always true
Which of the following is the converse of the statement If it your birthday then it is September
if its September its your birthday
If you took an if then statement inserted a not in each clause and reversed the clauses the new statement would also be true
Is it true that if you took an if-then statement inserted a not in each clause and reversed the clauses the new statement would also be true
If the conditional (if, then) is true, then the contrapositive (reversed; if not, then not) will be also true. And vice versa, if the conditional is false, its contrapositive will be also false. for example,
If a graph passes the vertical line test, then it is a graph of a function. (True)
If a graph is not a graph of a function, then it will not pass the vertical line test. (True)
Yes, but only if the original if-then was true.
Which are accepted without proof in a logical system Postulates Axioms Theorems or Corollaries
Postulates and axioms are accepted without proof in a logical
system. Theorems and corollaries require proof in a logical
system.
What is the converse of the statement if it is summer then its warm outside
The converse of the statement "If it is summer, then it is warm
outside' would be if it is warm outside then it is summer.
What best describes the meaning of the term theorem
A conclusion provided by deductive reasoning
What is used to explain a statement in a geometric proof
Postulate, Corollary, Definition, & Theorem
Which term best describes a proof in which you assume the opposite of what you want to prove
The term that best describes a proof in which you assume the
opposite of what you want to prove is 'indirect proof'.
What can you determine when you use deduction and start and start from a given set of rules and conditions
What is the converse of the statement below X - y
True or false in a two column proof the right column states your reasons.
True or false In deductive thinking you start with a given set of rules and conditions and determine what must be true as a consequenceAsk us anything
True or false If you took a true if-then statement and reversed the clauses the new statement would also be true.
True or false if you took a true if then statement inserted a not in each clase and reversed the clauses the new staement would also be true
True. In that case, each of the statements is said to be the
contrapositive of the other.
Which of the diagrams below represents the statement If it is a square then it is a quadrilateral
Which of the diagrams below represents the contrapositive of the statement If it is a square then it is a quadrilateral
In geometry you can use deductive rules
In geometry, deductive rules can be used to prove
conjectures.
