Geometry Terms - chapter 2 Flashcards Preview

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Flashcards in Geometry Terms - chapter 2 Deck (23)
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1
Q

biconditional statement

A

a statement that can be written in the form “p if and only if q”

2
Q

conclusion

A

the part of a conditional statement following the word “then”

3
Q

conditional statement

A

a statement that can be written in the form “if p, then q”, where “p” is the hypothesis and “q” is the conclusion

4
Q

conjecture

A

a statement that is believed to be true

5
Q

contrapositive

A

the statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement

6
Q

converse

A

the statement formed by exchanging the hypothesis and conclusion of a conditional statement

7
Q

counterexample

A

an example that proves that a conjecture or statement is false

8
Q

deductive reasoning

A

the process of using logic to draw conclusions

9
Q

definition

A

a statement that describes a mathematical object and can be written as a true biconditional statement

10
Q

flowchart proof

A

a style of proof that uses boxes and arrows to show the structure of the proof

11
Q

hypothesis

A

the part of a conditional statement following the word “if”

12
Q

inductive reasoning

A

the process of reasoning that a rule or statement is true because specific cases are true

13
Q

inverse

A

the statement formed by negating the hypothesis and conclusion of a conditional statement

14
Q

logically equivalent statements

A

statements that have the same truth value

15
Q

negation

A

the negation of statement “p” is “not p” and is written as “~p”

16
Q

paragraph proof

A

a style of proof in which the statements and reasons are presented in paragraph form

17
Q

polygon

A

a closed plane figure formed by three or more segments such that each segment intersects exactly two other segments only at their endpoints and no two segments with a common endpoint are collinear

18
Q

proof

A

an argument that uses logic to show that a conclusion is true

19
Q

quadrilateral

A

a four-sided polygon

20
Q

theorem

A

a statement that has been proven

21
Q

triangle

A

a three-sided polygon

22
Q

truth value

A

the truth value of a statement is either “true” (T) or “false” (F)

23
Q

two-column proof

A

a style of proof in which the statements are written in the left-hand column and the reasons are written in the right-hand column