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Geometry

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Corbin Jast

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Cards in this guide (23)
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"

True or false In the body of an indirect proof you must show that the assumption leads to a contradiction

True
It is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.

What is the purpose of keeping a running list of new vocabulary words

The purpose of keeping a running list of new vocabulary words is to make it easier to remember and use new words.

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

No, it is not.

The purpose of a code is to

The purpose of a code is to hide what you are writing or saying so they dont know

What is the converse of the statement If it is snowing then it is your birthday

The converse of the statement 'If it is snowing, then it is your birthday is 'If it is my birthday, then it is snowing.'

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 of the following is the inverse of the statement If you do your homework then it will snow

If you do not do your homework then it will not snow.
If I do not do my homework, then it will not snow.

Which of the following is the inverse of the statement 'if like math then i like science

If I do not like Math then I do not like Science.

What best describes the meaning of the term theorem

A conclusion provided by deductive reasoning

What are the best adjectives that would describe Australia

a unique country :)

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.

What does mais je n'ai pas de soeurs mean

"mais je n'ai pas de soeurs"="but I don't have any sisters".

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'.

True of false in a two-column proof the left column states your reasons

In a two-column proof, it is true that the left column states your reasons.

What is the inverse of the statement below

Answer this question… Which term best describes a proof in which you assume the opposite of what you want to prove?

The second statement is the what of the first.

Inverse (Tested)

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.

If A then B is a form of statement

J

Which of the following can be used to explain a statement in a geometric proof Check all that apply

Corollary.

Theorem.

Definition.

Postulate.

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