Geometry Unit 3

Question 1

inductive reasoning

Answer 1

making a conclusion based on observations and patterns

Question 2

conjecture

Answer 2

a concluding statement reached using inductive reasoning

Question 3

a statement is ___

Answer 3

a sentence that is either true or false

Question 4

negation

Answer 4

opposite truth value (~)

Question 5

conjunction

Answer 5

statements joined by and written as P ^ Q

Question 6

disjunction

Answer 6

statement joined by the word or written as P V Q

Question 7

for a conjunction, how many statements have to be true for it all to be true?

Answer 7

both

Question 8

for a disjunction, how many statements have to be true for it all to be true?

Answer 8

one

Question 9

inverse

Answer 9

negate the hypo. and conc.(~p->~q)

Question 10

converse

Answer 10

switch the hypo. and concl. (q->p)

Question 11

contrapositive

Answer 11

negate and switch the hypo and conc. (~q->~p)

Question 12

biconditional stataments

Answer 12

conjunction of the conditional and its converse

Question 13

for biconditionals, how many statements have to be true for it all to be true?

Answer 13

both

Question 14

deductive reasoning

Answer 14

reasoning logically & drawing a concl. from given facts and statements

Question 15

law of detatchment

Answer 15

given a conditional, if the hypoth. is true, the concl. is true

Question 16

law of syllogism

Answer 16

allows u to draw a concl. from 2 conditional statements where the conc. of the 1st is the hypo. of the 2nd.

Question 17

substitution property

Answer 17

if a=b then a may be replaced by b in any equation.

Question 18

symmetric prop.

Answer 18

if a=b then b=a

Question 18

transitive property

Answer 18

if a=b, and b=c, then a=c

Question 19

what can be used as reasons?

Answer 19

properties, definitions, postulates, and theorems

Question 20

reflexive property of congruence

Answer 20

For any segment AB, ss AB ≅ ss AB

Question 21

symmetric property of congruence

Answer 21

if ss AB ≅ ss CD, then ss CD ≅ ss AB

Question 22

def of congruence

Answer 22

the measure of 2 angles are equal if and only if the angles are congruent
m∠A = m∠B ↔ ∠A ≅ ∠B

Can also be with segments

Question 22

reflexive property of congruence

Answer 22

if ss AB ≅ ss CD, and ss CD ≅ ss EF,
then ss AB ≅ ss EF

Question 22

def of MP

Answer 22

if M is the MP of ss AB, then AM=MB

Question 22

seg. add. postulate

Answer 22

AB+BC=AC

Question 23

def of right angle

Answer 23

sn angle measures 90* if and only if it is a right angle

Question 24

def of compl. angles

Answer 24

2 angles are compl. if and only if the sum of their measures is 90*

Question 25

def. of supll. angles

Answer 25

2 angles are suppl. if and only if the sum of their measures is 180*

Question 26

def of perpendicular

Answer 26

perp. lines from right angles

Question 27

vertical angles theorem

Answer 27

if 2 angles are vertical, then they are congruent.

Question 28

complement theorem

Answer 28

if 2 angles form a right angle, then they are complementary

Question 29

linear pair theorem

Answer 29

if 2 angles form a linear pair, then they are supplementary

Question 30

congruent complements theorem

Answer 30

if 2 angles are complementary to the same angle, then they are congruent.

Question 31

congruent supplements theorem

Answer 31

if 2 angles supplementary to the same angle, then they are congruent.