Geometry Chapt. 2 Laws, Theorems, Postulates, And Properties

Front 1

conjecture

Back 1

unproven statement that is based on observations

Front 2

counterexample

Back 2

a specific case for which the conjecture is false

Front 3

conditional statement

Back 3

a logical statement that has a hypothesis and conclusion. written in if-then form

Hint 3

if p, then q

Front 4

converse

Back 4

exchange the hypothesis and conlusion.

Hint 4

if q, then p

Front 5

inverse

Back 5

negate the hypothesis and conlusion

Hint 5

if not p, then not q

Front 6

contrapositive

Back 6

first write the converse, then negate the conclusion and hypothesis

Hint 6

if not q, then not p

Front 7

perpendicular lines

Back 7

if two lines intersect to form a right angle, then they are perpendicular lines

Front 8

biconditional statement

Back 8

contains the phrase if and only if. when converse and conditional are both true

Hint 8

p if and only if q

Front 9

inductive reasoning

Back 9

uses specific examples and patterns to form a conjecture

Front 10

deductive reasoning

Back 10

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

Front 11

law of detachment

Back 11

if the hypothesis of a conditional statement is true, then the conclusion is also true

Front 12

law of syllogism

Back 12

p>q, q>r, then p>r

Front 13

line perpendicular to a plane

Back 13

a line is a line perpendicular to a plane if and only if the line intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point

Front 14

ruler postulate

Back 14

the distance between points A and B written as AB is the absolute value of the difference of the coordinates of A and B

Front 15

segment addition postulate

Back 15

if B is between A and C then AB +BC =AC

Front 16

angle addition postulate

Back 16

if P is in the interior of <RST, then the measure of <RST is equal to the sum of the measures of <RSP and <PST.

Hint 16

if p is in the interior of < RST, then m<RST =m<RSP + m<PST

Front 17

addition property

Back 17

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

Front 18

subtraction property

Back 18

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

Front 19

multiplacation property

Back 19

if a=b, then ac=bc

Front 20

division property

Back 20

if a=b and c doesnt = 0, then a÷c=b÷c

Front 21

substitution property

Back 21

if a=b, then a can be substituted for b in any equation or expression

Front 22

reflexive property

Back 22

for any real number a, a=a

Front 23

symmetric property

Back 23

for any real numbers a and b, if a=b, then b=a

Front 24

transitive property

Back 24

for any real numbers a,b, and c, if a=b and b=c, then a=c

Front 25

right angle congruence theorem

Back 25

all right angles are congruent. rt <'s =~ thrm.

Front 26

congruent supplements theorem

Back 26

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

Front 27

congruent complements theorem

Back 27

if two angles are complementary to the same angle or congruent angles, then they are congruent

Front 28

linear pair postulate

Back 28

if two angles form a linear pair, then they are supplementary.

Front 29

vertical angles congruence theorem

Back 29

vertical angles are congruent

Front 30

right angle congruence theorem

Back 30

all right angles are congruent. rt <'s =~ thrm.