answersLogoWhite

0

Geometry

User Avatar

Veronica Wilkinson

Lvl 10
∙ 2y ago
☆★☆★☆★☆★☆★
No Reviews
Leave the first rating
Term1/25
Is it possible for two skew lines to be perpendicular
Definition1/25

perpendicular lines are lines that MEET at right angles (90 degrees). Skew lines are lines that dont meet at all. Even though the gradients of two skew lines can multiply to be -1 (a property of perpendicular lines) They will not really be perpendicular as they don't accually meet. This can occur when the lines are in different planes.

Term1/25
Do the angles that form a linear pair have to be adjacent
Definition1/25

The measures of two adjacent interior angles sum to 180 because they form a linear pair.

B. False

Term1/25
True or false In the body of an indirect proof you must show that the assumption leads to a contradiction
Definition1/25

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.

Term1/25
Which of the following is the converse of the statement If it your birthday then it is September
Definition1/25

if its September its your birthday

Term1/25
If you took an if then statement inserted a not in each clause and reversed the clauses the new statement would also be true
Definition1/25

true

Term1/25
Angle formed by supplementary and complementary angles
Definition1/25

Supplementary angles forms a 180o angle (or a straight line). Complementary angles form a 90o angle.

Term1/25
Quadrilateral ABCD is a parallelogram in which angle A equals 40 degrees Which two angles below are complementary
Definition1/25

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

The figure has no complementary pairs of angles.

Term1/25
Which are accepted without proof in a logical system Postulates Axioms Theorems or Corollaries
Definition1/25

Postulates and axioms are accepted without proof in a logical system. Theorems and corollaries require proof in a logical system.

Term1/25
What is the inverse of this statement
Definition1/25

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

Term1/25
What best describes the meaning of the term theorem
Definition1/25

A conclusion provided by deductive reasoning

Term1/25
What does m means in angle geometry
Definition1/25

It means "measure". So m<AVB is saying "the measure of Angle AVB is/= ? degrees".

Term1/25
Which term best describes a proof in which you assume the opposite of what you want to prove
Definition1/25

The term that best describes a proof in which you assume the opposite of what you want to prove is 'indirect proof'.

Term1/25
True of false in a two-column proof the left column states your reasons
Definition1/25

In a two-column proof, it is true that the left column states your reasons.

Term1/25
What special marks are used to show that segments are congruent
Definition1/25

hashmarks

Term1/25
What is A logical argument that is presented in graphical form using boxes and arrows is called a
Definition1/25

A. Flowchart proof

Term1/25
What two dimensional and infinitely large
Definition1/25

A plane.

Term1/25
Why can't a quadrilateral have four obtuse angles
Definition1/25

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.

Term1/25
True or false in a two column proof the right column states your reasons.
Definition1/25

True

Term1/25
True or false A corollary is a statement that can be easily proved using a theorem.
Definition1/25

FALSE

Term1/25
True or false if you took a true if then statement inserted a not in each clase and reversed the clauses the new staement would also be true
Definition1/25

True. In that case, each of the statements is said to be the contrapositive of the other.

Term1/25
If point C is between points A and B then AC plus CB .
Definition1/25

The real answer is Bc . Hate these @

Term1/25
Name the types of angles shown.
Definition1/25

supplementary and straight

Term1/25
A part of a line with endpoints on both ends is a(n)
Definition1/25

line segment

Term1/25
If A flowchart proof presents a logical argument using
Definition1/25

Boxes and arrows.

Term1/25
Which of the following can be used to explain a statement in a geometric proof Check all that apply
Definition1/25

Corollary.

Theorem.

Definition.

Postulate.

🥳
Great job!
You studied all the cards in this guide.
Rate this guide:
☆★☆★☆★☆★☆★

Rate this Study Guide:

☆★☆★☆★☆★☆★
Cards in this guide (25)
Is it possible for two skew lines to be perpendicular

perpendicular lines are lines that MEET at right angles (90 degrees). Skew lines are lines that dont meet at all. Even though the gradients of two skew lines can multiply to be -1 (a property of perpendicular lines) They will not really be perpendicular as they don't accually meet. This can occur when the lines are in different planes.

Do the angles that form a linear pair have to be adjacent

The measures of two adjacent interior angles sum to 180 because they form a linear pair.

B. False

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.

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

if its September its your birthday

If you took an if then statement inserted a not in each clause and reversed the clauses the new statement would also be true

true

Angle formed by supplementary and complementary angles

Supplementary angles forms a 180o angle (or a straight line). Complementary angles form a 90o angle.

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.

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 does m means in angle geometry

It means "measure". So m<AVB is saying "the measure of Angle AVB is/= ? degrees".

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.

What special marks are used to show that segments are congruent

hashmarks

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

A. Flowchart proof

What two dimensional and infinitely large

A plane.

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

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

FALSE

True or false if you took a true if then statement inserted a not in each clase and reversed the clauses the new staement would also be true

True. In that case, each of the statements is said to be the contrapositive of the other.

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

The real answer is Bc . Hate these @

Name the types of angles shown.

supplementary and straight

A part of a line with endpoints on both ends is a(n)

line segment

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.

Related study guides

Geometry

22 cards

Is it possible for two skew lines to be perpendicular

Do the angles that form a linear pair have to be adjacent

True or false In the body of an indirect proof you must show that the assumption leads to a contradiction

Are collinear points also coplanar

➡️
See all cards
☆★☆★☆★☆★☆★
No Reviews

Geometry

28 cards

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

Four points are always coplanar if

True or false In the body of an indirect proof you must show that the assumption leads to a contradiction

A line and two points are guaranteed to be coplanar if

➡️
See all cards
5.0
☆★☆★☆★☆★☆★
1 Review

Geometry

19 cards

What divides an angle into two congruent angles

True or false In the body of an indirect proof you must show that the assumption leads to a contradiction

Which are accepted without proof in a logical system Postulates Axioms Theorems or Corollaries

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

➡️
See all cards
☆★☆★☆★☆★☆★
No Reviews

Geometry

29 cards

What is an undefined term of geometry

Four points are always coplanar if

True or false In the body of an indirect proof you must show that the assumption leads to a contradiction

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

➡️
See all cards
☆★☆★☆★☆★☆★
No Reviews

Geometry

21 cards

What divides an angle into two congruent angles

A straight path that goes on forever in both directions is called a

True or false In the body of an indirect proof you must show that the assumption leads to a contradiction

Which of the following describe an angle with a vertex at A

➡️
See all cards
☆★☆★☆★☆★☆★
No Reviews

Resources

Leaderboard All Tags Unanswered

Top Categories

Algebra Chemistry Biology World History English Language Arts Psychology Computer Science Economics

Product

Community Guidelines Honor Code Flashcard Maker Study Guides Math Solver FAQ

Company

About Us Contact Us Terms of Use Privacy Policy Disclaimer Cookie Policy IP Issues
Answers Logo
Copyright ©2024 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.