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Geometry

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Jaquan Kemmer

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2y ago
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Cards in this guide (29)
What is an undefined term of geometry

coplaner

Four points are always coplanar if

all of them are collinear

they lie in the same plane

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 Postulates and axioms are statements which are accepted without question or justification

True

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

For Apex the answer is “True“.

What is three-dimensional and infinitely large

Geometric space is three dimensional and infinitely large.

Which of the following is the converse of the statement If it your birthday then it is September

if its September its your birthday

Quadrilateral ABCD is a parallelogram in which angle A equals 40 degrees Which two angles below are complementary

A and B, B and C, C and D, D and A, are all supplementary pairs.

The figure has no complementary pairs of angles.

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.

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 is the inverse of this statement

What isn't the inverse of this statement(?)

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.

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.

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?

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

A. Flowchart proof

Why can't a quadrilateral have four obtuse angles

The sum of the 4 internal angles of a quadrilateral must sum to 360° (go look up the proof of this elsewhere).

For the sake of argument, let's call the 4 internal angles of a quadrilateral A, B, C, and D.

If they were all obtuse, then (by definition):

180° > A > 90°

180° > B > 90°

180° > C > 90°

180° > D > 90°

If you add them all up, you find that for the sum of the angles A+B+C+D

720° > A + B + C + D > 360°

but, A+B+C+D = 360°,

Since the assumption produces a result that contradicts this, the assumption cannot be true.

Q.E.D.

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

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

FALSE

If point C is between points A and B then AC plus CB .

The real answer is Bc . Hate these @

Which counterexample shows that the conjecture Every four-sided figure is a parallelogram is false

Every four sided figure is a quadrilateral which includes a parallelogram.

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 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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