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Geometry

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Elyse Daniel

Lvl 10
โˆ™ 2021-10-09 18:34:18
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Cards in this guide (22)
How many dimensions does a point have

A point has no dimensions. It can be drawn anywhere or marked anywhere.

A point is the one which cannot be measured.

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.

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

For Apex the answer is โ€œTrueโ€œ.

True or false If you took an if-then statement and inserted a not into each clause the new statement would also be true

This is true in a very basic sense. But statements cannot always be flipped around this way. I don't know if you're talking about programming or logic, but in programming, say you have the statement:

if count == 34 then endloop = true.

There may be another statement later that turns endloop true no matter what.

In logic, if the "if" statement has absolutely nothing to do with the "then" statement, then the answer to your question is false

-FALSE!

True or false Postulates are accepted as true without proof

True

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

A corollary is a statement that can easily be proved using a theorem.

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.

A syllogism is an in its simplest form

[Logical] argument.

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

false

Is it false that and indirect proof assumes the opposite of what needs to be proved and then arrives at a contradiction

true

What best describes the meaning of the term theorem

A conclusion provided by deductive reasoning

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.

True or false postulates are statments that are accepted without questions or justification

It is true that postulates are statements that are accepted without questions or justifications.

Which of the following are accepted withoiut proof in a logical system

The question asks about the "following". In those circumstances would it be too much to expect that you make sure that there is something that is following?

Which of the following describes perpendicular lies

Perpendicular lines intersect each other at right angles which is 90 degrees.

True or false in a two column proof the right column states your reasons.

True

Postulates are statements the require proof true or false

False

A logical argument that is presented in graphical form using boxes and arrows is called a what

Flowchart proof

In a two column proof the left column contains a series of deductions true or false

False

If A flowchart proof presents a logical argument using

Boxes and arrows.

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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