Geometry Terms - chapter 2

Question 1

biconditional statement

Answer 1

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

Question 2

conclusion

Answer 2

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

Question 3

conditional statement

Answer 3

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

Question 4

conjecture

Answer 4

a statement that is believed to be true

Question 5

contrapositive

Answer 5

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

Question 6

converse

Answer 6

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

Question 7

counterexample

Answer 7

an example that proves that a conjecture or statement is false

Question 8

deductive reasoning

Answer 8

the process of using logic to draw conclusions

Question 9

definition

Answer 9

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

Question 10

flowchart proof

Answer 10

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

Question 11

hypothesis

Answer 11

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

Question 12

inductive reasoning

Answer 12

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

Question 13

inverse

Answer 13

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

Question 14

logically equivalent statements

Answer 14

statements that have the same truth value

Question 15

negation

Answer 15

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

Question 16

paragraph proof

Answer 16

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

Question 17

polygon

Answer 17

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

Question 18

proof

Answer 18

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

Question 19

quadrilateral

Answer 19

a four-sided polygon

Question 20

theorem

Answer 20

a statement that has been proven

Question 21

triangle

Answer 21

a three-sided polygon

Question 22

truth value

Answer 22

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

Question 23

two-column proof

Answer 23

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