Math Properties

Question 1

Points, Postulate 5

Answer 1

Through any two points exists exactly one line

Question 2

Line, Postulate 6

Answer 2

A line contains at least two points

Question 3

Line intersection, Postulate 7

Answer 3

If two lines intersect, then there intersection is exactly one point

Question 4

Non- Collinear, Postulate 8

Answer 4

Through any three non collinear points there exists exactly one plane

Question 5

Planes, Postulate 9

Answer 5

A plane contains at least three non collinear points

Question 6

Points in a plane, Postulate 10

Answer 6

If two points lie in a plane, then the line containing them lies in the plane

Question 7

Intersecting Planes, Postulate 11

Answer 7

If two planes intersect, then their intersection is a line

Question 8

Addition Property

Answer 8

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

Question 9

Subtraction Property

Answer 9

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

Question 10

Multiplication Property

Answer 10

If a= b then ac= bc

Question 11

Division Property

Answer 11

If a= b and c does NOT = 0 then a divided by c= b divided by c

Question 12

Reflexive Property

Answer 12

For any real number a, a= a

Question 13

Transitive Property

Answer 13

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

Question 14

Symmetric Property

Answer 14

If a= b then b=a

Question 15

Substitution Property

Answer 15

If a= b, then

Question 16

Conditional Statement

Answer 16

Statement that has two parts, hypothesis and Conclusion

Question 17

If-then form

Answer 17

The “if” part contains the hypothesis while the “then” part contains the conclusion

Question 18

Hypothesis, conclusion

If it is noon in Georgia then it is 9 AM in California.

Answer 18

Hypothesis: The if part, Conclusion: The then part. The hypothesis is, it is noon in Georgia. The conclusion is its 9 A.M in California.

Question 19

Converse

Answer 19

Switching the order of the hypothesis and conclusion

Question 20

Negation

Answer 20

Writing the negative of the statement

Question 21

Inverse

Answer 21

Writing the nation of a conditional statement

Question 22

Contrapositive

Answer 22

The inverse and the converse of the original, so flipping and negation

Question 23

Equivalent Statements

Answer 23

When a statement is both true or false, the inverse and converse of a statement are equivalent

Question 24

Perpendicular Lines

Answer 24

Lines that intersect to form a right angle

Question 25

Line Perpendicular to a plane

Answer 25

A line that intersects a plane in a point and is perpendicular to every line in a plane that intersects it

Question 26

Logical Argument

Answer 26

Uses deductive reasoning

Question 27

Law of Syllogism

Answer 27

If p= q and q- R are true conditional statements the p- r is true

Question 28

Law of Detachment

Answer 28

If p- q is a true conditional statement and p is true then q is true

Question 29

Deductive Reasoning

Answer 29

Using an accepted fact to prove something

Question 30

Inductive Reasoning

Answer 30

Using patterns to come to a conclusion