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Geometry

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Esperanza Hahn

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Cards in this guide (30)
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 conditional statement is true then its contrapositive

If a conditional statement is true then its contra-positive is also true.

Is a theorem a statement that can be easily proved using a corollary

No. A corollary is a statement that can be easily proved using a theorem.

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

false

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 of the following are statements that require proof in a logical system

Corollaries,Theorems
Corollaries, Theorems

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

Vertical angles must be adjacent

No.

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?

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 pairs of angles in the figure below are vertical angles

which pair of angles in the figure below are vertical angles ?

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

A conditional statement.

The diagram shows two parallel lines and a transversal. If the measure of 6 is 140 what is the measure of 1

it is 40 degress

How is line m is the perpendicular bisector of XY. If line m intersects XY at point Z statements must be true

The perpendicular bisector of the line XY will meet it at its midpoint at right angles.

If two line segments have the same length must be true

They are congruent.

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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