Axioms and Postulates (If-Then)

Question 1

If 2 things are equal to a third

Answer 1

then those 2 things are equal

Question 2

If equals are added to equals

Answer 2

then the sums are equal

Question 3

If equals are subtracted from equals

Answer 3

then the differences are equal

Question 4

If 2 things coincide with one another

Answer 4

then they are equal

Question 5

If there are 2 points (Postulate 1)

Answer 5

then there is a line segment between those 2 points

Question 6

If there is a line segment

Answer 6

then it can be extended

Question 7

If there are 2 points (Postulate 3)

Answer 7

then there is a circle centered at one point going through the other point

Question 8

If there are 2 right angles

Answer 8

then they are congruent

Question 9

Axiom 5

Answer 9

Whole is greater than any of its parts