conditional statements
the if part of a conclusional statement
What is a hypothesis?
∴
What is therefore
Through any two points, there only exists one line
What is the two points postulate
A(b+c)=Ab+ac
What is the distributive property
If two angles are supplementary to the same angle, they are congruent
What is the congruent supplements theorem
The then part of a conclusional statement.
What is the conclusion.
A specific case for which a conjecture is false
What is counterexample
A line contains at least two points
that is the line point postulate
a=a
What is the reflexive property
If two angles are complementary to the same angle, they are congruent.
what is the congruent complements theorem
Write the negation- the ball is red
what is the ball is not red
an unproven statement that is based on observations
What is conjecture
If two lines intersect, then their intersection is exactly one point.
What is the line intersection postulate
if a=b, then b=a
What is the symmetric property
If two angles form a linear pair, they are supplementary
What is the linear pair postulate
write the contrapositive- If you live in Houston, you live in Texas
What is, If you do not live in Texas, you don't live in Houston.
if p->q, q->r, p->r
What is the law of syllogism
Through any three non-colinear points, there exists one plane
What is the Three point postulate
If a=b and b=c, a=c
What is the transitive property
vertical angles are congruent
vertical angels congruence theorem
What phrase is in biconditional statements
What is If and only if
∧
What is and
A plane contains at least 3 non-colinear points
What is the plane point postulate
this is the first thing that you put while algebraic reasoning
What is the given statement
contrapositive of -
If two angles are supplementary to the same angle, they are congruent
What is - if two angles are not supplementary to the same angle, they are not congruent.