Download Conditional Statement

1. What is the difference between a paragraph
proof and a column proof?
2. True or False:
• If a quadrilateral is a square, then all four
sides are congruent.
• If all four sides of a quadrilateral are
congruent, then the figure is a square.
1.7 Deductive Structure
Deductive structure: conclusions
are justified by means of
previously assumed or provided
statements.
Four Elements:
1. Undefined terms
2. Assumptions known as postulates
3. Definitions
4. Theorems and other conclusions
Postulate: an unproven
assumption
Definition: states the meaning of
a term, they are ALWAYS
reversible!
Example stated:
1 If a point is the midpoint of a segment, then
the point divides the segment into two
congruent segments.
2 If a point divides a segment into two
congruent segments, then the point is
midpoint of the segment.
Conditional Statement:
p
hypothesis: “If ” part of the statement.
q
conclusion: “Then” part of the statement.
LOGIC:
p
q (read) “If p, then q.”
“p implies q.”
Converse:
If p implies q, does q imply p?
p
q
q
p
Theorem: Math statement you can
prove
Can’t use a theorem to prove itself
Theorems and postulates are not
always reversible!
If two angles are right angles, then
they are congruent. True
Is the converse also true?
If two angles are congruent, then they
are right angle. NO!
True or False?
Conditional
statement and converse.
If an animal is a dog, then it has four
legs.
If an animal has four legs, then it is a
dog.
False!
If a student receives a B on the test,
then his/her grade is between 80 and
90.
State the converse and tell if it is true or
false.
If the students grade is between 80 and
90, then the student receives a B on the
test. True.