vocab unit two?

Question 0

used when you find a pattern in specific cases and use pattern to write a conjecture for general cases

Answer 0

inductive reasoning

Question 1

unproven statement based on observation

Answer 1

conjecture

Question 2

specific case for when conjecture is false

Answer 2

counter example

Question 3

logical statement with two parts: hypothesis and conclusion

Answer 3

conditional statement

Question 4

hypothesis and conclusion of conditional are reversed

Answer 4

converse

Question 5

negate hypothesis and conclusion of conditional

Answer 5

inverse

Question 6

write converse, then negate both hypothesis and conclusion

Answer 6

contra positive

Question 7

after “if”

Answer 7

hypothesis

Question 8

after “then”

Answer 8

conclusion

Question 9

opposite of original

Answer 9

negation

Question 10

both conditional and converse statements are true

Answer 10

biconditional

Question 11

uses facts, definitions, accepted properties, and laws of logic to form a logical argument

Answer 11

deductive reasoning

Question 12

determine truth of statement

Answer 12

truth value

Question 13

rule accepted without proof

Answer 13

postulate

Question 14

rule that can be mathematically proven

Answer 14

theorem

Question 15

through any two points there is ________

Answer 15

EXACTLY one line

Question 16

a line contains _______

Answer 16

at least two points

Question 17

if two lines intersect, then their intersection is _________

Answer 17

EXACTLY one point

Question 18

through ______ there exists exactly one plane

Answer 18

any 3 noncolinear points

Question 19

a plane contains __________

Answer 19

at least three noncolinear points

Question 20

if two points lie in a plane, the line that contains them _________

Answer 20

also lies in the plane

Question 21

if two planes intersect, their intersection is ________

Answer 21

EXACTLY one line

Question 22

logical argument that shows a statement is true

Answer 22

proof

Question 23

if a=b, then a+c=b+c

Answer 23

addition prop

Question 24

if a=b, then a-c=b-c

Answer 24

subtraction prop

Question 25

if a=b, then ac=bc

Answer 25

multiplication prop

Question 26

if a=b, then a/c=b/c

Answer 26

division prop

Question 27

if a=b, then "b" can be substituted for "a" in any situation

Answer 27

substitution prop

Question 28

a(b+c)=ab+ac

Answer 28

distributive prop

Question 29

Answer 29

reflexive prop

Question 30

if AB=CD then CD=AB

Answer 30

symmetric property

Question 31

if AB=CD and CD=EF then AB=EF

Answer 31

transitive prop

Question 32

all right angles are congruent

Answer 32

right angles congruence theorem

Question 33

angles supplementary to same angle/congruent angles are congruent

Answer 33

congruent supplements theorem

Question 34

angles complementary to same angle/congruent angles are congruent

Answer 34

congruent complementary theorem

Question 35

if two angles from a linear pair, then angles are supplementary

Answer 35

linear pair postulate

Question 36

vertical angles are congruent

Answer 36

vertical angle postulate