Theorems

Question 0

Theorem 1.2

Answer 0

A line and a point not on that line are are contained in one and only one plane

Question 1

Theorem 1.1

Answer 1

If two distinct lines intersect, they intersect in one and only one point

Question 2

Theorem 1.3

Answer 2

Two intersecting lines are containing in one and only one plane

Question 3

Theorem 1.4

Answer 3

Two parallel lines are continued in one and only one plane

Question 4

Theorem 2.1

Answer 4

Jordan curve theorem: any simple closed curve divides a plane into three disjoint sets: the curve itself, it’s interior, and its exterior

Question 5

Theorem 3.1

Answer 5

Midpoint theorem: if M is the midpoint of AB then AM= 1/2 AB

Question 6

Theorem 3.2

Answer 6

The perimeter of regular n-gon with sides of length s is n x s

Question 7

The definition of Theorem 5.1

Answer 7

The conditional pー＞q is equivalent to the disjunction ~p or q

Question 8

The definition of Theorem 5.2

Answer 8

Contrapositive rule. A conditional statement is equivalent to its contrapositive