Proofs

Question 1

conditional statement

Answer 1

a statement that can be written in if-then from

Question 2

Hypothesis

Answer 2

the phrase following if in a conditional statement

Question 3

conclusion

Answer 3

the phrase following then in a conditional

Question 4

converse

Answer 4

switch the hypothesis and conclusion

Question 5

counter example

Answer 5

proves conditional wrong

Question 6

Bi-conditional

Answer 6

a statement that is true and the converse is true also - if and only if

Question 7

visual reasoning

Answer 7

translate descriptions into diagrams and/or pictures to better understand the situation

Question 8

inductive reasoning

Answer 8

the process of observing the data, recognizing patterns, and making conclusions

Question 9

conjecture

Answer 9

a conclusion base on inductive reasoning

Question 10

deductive reasoning

Answer 10

the process of showing certain statements must follow logically from agreed among assumptions and proven facts

Question 11

addition P.o.E. (subtraction)

Answer 11

If A = B then A + C = B + C

Question 12

Multiplication P.o.E. (division)

Answer 12

If A = B then A x C = B x C

Question 13

Substitution P.o.E.

Answer 13

If A = B then A can be substituted of B in any equation/expression

Question 14

Reflexive Property

Answer 14

A=A
A congruent to A

Question 15

Symmetric Property

Answer 15

A = B so B = A

Question 16

Transitive Property

Answer 16

congruence A = B, B = C so A = C

Question 17

Theorem

Answer 17

a statement Deductively proven to be true from definitions, postulate, and previously proven theorems

Question 18

Postulate

Answer 18

an unprovable statement assumed true

Question 19

proof

Answer 19

a series of justified conclusion leading from given info to a result

Question 20

two column proof

Answer 20

a proof that consists of a list of conclusions and the justifications that are true

Question 21

segment addition postulate (SAP)

Answer 21

if B is on AC then AB+BC=AC

Question 22

Segment addition Postulate (AAP)

Answer 22

if D is inside /ABC then /ABD + /DBC = /ABC

Question 23

linear pair theorem

Answer 23

If 2 angles from a linear pair then they are supplementary

Question 24

vertical angles theorem

Answer 24

if 2 angles vertical angles they are congruent

Question 25

corresponding angles postulate

Answer 25

if // the C.A. are congruent

Question 26

alternate interior angles theorem

Answer 26

if // then A.I.A are congruent

Question 27

alternate exterior angles theorem

Answer 27

if // then A.E.A are congruent

Question 28

same side interior angles theorem

Answer 28

if // then S.S.I.A are supp.

Question 29

same side exterior angles theorem

Answer 29

if // then S.S.E.A are supp.

Question 30

corresponding angles converse postulate

Answer 30

If C.A. are congruent the lines are //

Question 31

alternate interior angles converse theorem

Answer 31

If A.I.A are congruent the lines are //

Question 32

alternate exterior angles converse theorem

Answer 32

If A.E.A are congruent the lines are //

Question 33

same side interior angles converse theorem

Answer 33

If S.S.I.A are congruent the lines are supp.