PROPERTIES, POSTULATES

Question 1

Can be true or false, most basic

Answer 1

Statement

Question 2

The opposite of a statement

Answer 2

Negation

Question 3

Has hypothesis first then conclusion

Answer 3

Conditional

Question 4

If p then q,

Answer 4

Conditional statement

Question 5

If q then p

Answer 5

Converse

Question 6

If not p then not q

Answer 6

Inverse

Question 7

If not q then not p

Answer 7

Contrapositive

Question 8

If and only if

Answer 8

Bi conditional statement

Question 9

Line segment postulate 5

Answer 9

Through any 2 points there exists exactly one line

Question 10

Line postulate number 6

Answer 10

A line consists of at least 2 points

Question 11

Line intersection postulate

Answer 11

If 2 lines intersect, their intersection is exactly 1 point

Question 12

Plane postulate

Answer 12

Through any three non collinear points there exists exactly one plane

Question 13

Plane postulate number 9

Answer 13

A plane consists of at least 3 non collinear points

Question 14

Line in a plane postulate

Answer 14

If 2 points lie in a plane then the line containing the points is also in the plane

Question 15

Plane intersection postulate

Answer 15

If 2 planes intersect then their intersection is a line

Question 16

Angle addition postulate

Answer 16

If 2 angles have a common side and vertex, then the measure of the two angles is equal to the measure of the angle formed by the non shared sides

Question 17

Segment addition postulate

Answer 17

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

Question 18

Line segment postulate number 1

Answer 18

We can connect two points with a straight line and each point will correspond with a real number

Question 19

If a=b, then a + c = b + c

Answer 19

Addition property of equality

Question 20

If a=b, then a - c = b - c

Answer 20

Subtraction property of equality

Question 21

A a=b, then ac=bc

Answer 21

Multiplication property of equality

Question 22

If a=b, and c does not equal zero, then a/c=b/c

Answer 22

Division property of multiplication

Question 23

If a=b

Answer 23

Substitution property of equality

Question 24

If x=10 - 5, then x=5

Answer 24

Property of simplification

Question 25

4(x-2)=4x-8

Answer 25

Distributive property

Question 26

3=3, b=b,

Answer 26

Reflexive property

Question 27

If a=b, then b=a

Answer 27

Symmetric property

Question 28

If a=b and b=c, then a=c

Answer 28

Transitive

Question 29

If a=b, then a + c = b + c

Answer 29

Addition property of equality

Question 30

If a=b, then a - c = b - c

Answer 30

Subtraction property of equality

Question 31

A a=b, then ac=bc

Answer 31

Multiplication property of equality

Question 32

If a=b, and c does not equal zero, then a/c=b/c

Answer 32

Division property of multiplication

Question 33

If a=b

Answer 33

Substitution property of equality

Question 34

If x=10 - 5, then x=5

Answer 34

Property of simplification

Question 35

4(x-2)=4x-8

Answer 35

Distributive property

Question 36

3=3, b=b,

Answer 36

Reflexive property

Question 37

If a=b, then b=a

Answer 37

Symmetric property

Question 38

If a=b and b=c, then a=c

Answer 38

Transitive

Question 39

Parallel lines and transversal postulate

Answer 39

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent

Question 40

Corresponding angles converse

Answer 40

if two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.

Question 41

Alternate interior angles converse

Answer 41

if two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.

Question 42

Alternate exterior angles converse

Answer 42

if two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel

Question 43

Consecutive interior angles converse

Answer 43

if two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are paralle

Question 44

Perpendicular postulate 3.8

Answer 44

If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular

Question 45

Perpendicular lines postulate 3.9

Answer 45

If two lines are perpendicular, then they intersect to form four right angles

Question 46

Perpendicular lines postulate 3.10

Answer 46

If two sides of adjacent angles are perpendicular, then the angles are complementary

Question 47

Perpendicular postulate 3.11

Answer 47

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other

Question 48

Perpendicular postulate 3.12

Answer 48

In a plane, if two lines are perpendicular to the same line, then they are parallel to each other