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Geometry

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Adrianna Wiegand

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Cards in this guide (19)
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"

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

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 the pattern below follows the rule Starting with ten every consecutive line has a number one less than the previous line how many marbles must be in the tenth line

1

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.

What best describes the meaning of the term theorem

A conclusion provided by deductive reasoning

What term best describes a mathematical statement of the form if A then B

A mathematical statement of the form if A then B would be a conditional statement.

Which term best describes the statement given If p q and q r then p r below

a syllogism

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 must be true

What special marks are used to show that segments are congruent

hashmarks

The second statement is the what of the first.

Inverse (Tested)

Which of the diagrams below represents the contrapositive of the statement If it is a triangle then it has three vertices

It's Figure A

True or false If you took a true if-then statement and reversed the clauses the new statement would also be true.

The answer is false

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

Figure B

What are accepted without proof in a logical system Check all that apply A Postulates B Theorems C Axioms D Corollaries

Postulates and axioms.

Which of the diagrams below represents the statement If it is an triangle then it has three vertices

Figure A

three vertices-> triangle

Which of the diagrams below represents the contrapositive of the statement If it is a square then it is a quadrilateral

Figure B apex

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