Cards in this guide (29)
What is an undefined term of geometry
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 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
Is it false that and indirect proof assumes the opposite of what needs to be proved and then arrives at a contradiction
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
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.
Postulates are statements the require proof true or false
A logical argument that is presented in graphical form using boxes and arrows is called a what
True or false A corollary is a statement that can be easily proved using a theorem.
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
If A flowchart proof presents a logical argument using
Which of the following can be used to explain a statement in a geometric proof Check all that apply
Corollary.
Theorem.
Definition.
Postulate.