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Geometry

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Juvenal Dare

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Cards in this guide (29)
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 contrapositive of the statement below

The concept of contrapositive comes from here. A implies B is equivalent to not B implies not A.

Prove by contrapositive means instead of proving condition A leads to B, show that if B fails also cause A to fail.

True or false A corollary is a statement that can be easily proved using a theorem

For Apex the answer is “True“.

To begin an indirect proof you assume the converse of what you intend to prove is true

false

Which part of the angle is the vertex

It is the angle opposite the given side of a figure (<CAB has Vertex of A because it is the tip of the moutain, which is the highest point)

What types of statement can be used to explain the steps of a proof

The corollaries types of statement is what is used to explain the steps of a proof.

Which of the following is the contrapositive of the statement If it is raining then you will take your umbrella

If I do not take my umbrella, then it is notraining. apex :)

What are the statements that require proof in a logical system

The statements that require proof in a logical system are theorems and corollaries.

An obtuse angle measures between

90 degrees and 180 degrees

If the statement If it is cold then you wear a jacket is assumed to be true is its converse If you wear a jacket then it must be cold also always true

No, it must not be true.

Ef gh g

Yess!

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.

If AVB has a measure of 70 and is its angle bisector what is the measure of AVM

35 degrees

An angle measuring between 90 and 180 is called

An obtuse angle.

When you start from a given set of rules and conditions to determine what must be true what form of reasoning are you using

deductive reasoning

Is it true that a theorem is a statement that can be easily proved using a corollary

false

Which term describes how the two sides of this figure are related

symmetry

which term describes how the two sides of this figure are related?

What did Empress Theodora do before she was empress

She worked as an actress (which at that time was much similar to a stripper-prostitute hybrid than the modern definition of an actress).

Is most likely the next step in the series

After stating a hypothesis, what is the next step that a physicist is most likely to take in answering a question?A.Planning and performing an experiment to answer the question

Which of the fallowing is a correct name for a side of the given angle

ray

What letter do corresponding angles form

F for corresponding angles and Z for alternate angles

Congruent angles must satisfy which of they following conditions

they have same angle measure - apex

Which term best describes a mathematical statement of the form shown below if athen b

A conditional statement.

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

Figure B

If the statement If I am hungry then I am not happy is assumed to be true is its inverse If I am not hungry then I must be happy also always true

No

Which of the diagrams below represents the statement If it is a tree then it has leaves

i think its b

If two line segments have the same length must be true

They are congruent.

What An acute angle's measure is

An acute angle is greater than 0 but less than 90 degrees

What is True or false To begin an indirect proof you assume the opposite of what you intend to prove is true

It is true.

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