This document discusses determining the inverse, converse, and contrapositive of if-then statements. It provides examples of conditional statements and their inverse, converse, and contrapositive forms. It also contains classroom rules for being on time, on-task, responsible for learning, respecting others, and having phones on silent mode. The document is a guide for identifying different forms of conditional statements.

1. Determining the Inverse,
Converse and
Contrapositive of an If-then
Statement
Prepared By:
CHESKA MARIE L. LETEGIO
Teacher 1

2. CLASSROOM RULES
 Be on time, on-task, and prepared to learn.
 Be responsible for your learning.
 Respect your classmate, your teacher, and your
classroom.
 Set your mobile phones on silent mode.

3. Identify the hypothesis and conclusion of each
conditional statement.
1. If it is raining, then Ana will bring an
umbrella.
Hypothesis: _______________________
Conclusion: _______________________
It is raining
Ana will bring an umbrella

4. Identify the hypothesis and conclusion of each
conditional statement.
2. If a polygon is a triangle, then it has three
sides.
Hypothesis: ______________________________
Conclusion: __________________________
A polygon is a triangle
It has three sides

5. Identify the hypothesis and conclusion of each
conditional statement.
3. If you stay at home, then you are safe.
Hypothesis: ______________________________
Conclusion: _______________________
You stay at home
You are safe

6. Transform each conditional statement into if-
then form.
1. I can’t drive if I’m tired.

7. Transform each conditional statement into if-
then form.
2. A polygon with nine sides
is a nonagon.

8. Transform each conditional statement into if-
then form.
3. Collinear points lie on the
same line.

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Group Activity

13. If it’s Coca-Cola, then it’s
deliciously refreshing.

14. If it’s Coca-Cola, then it’s
deliciously refreshing.
1. If it’s not Coca-Cola, then
it’s not deliciously refreshing.

15. If it’s Coca-Cola, then it’s
deliciously refreshing.
2. If it’s deliciously refreshing,
then it’s Coca-Cola.

16. If it’s Coca-Cola, then it’s
deliciously refreshing.
3. If it’s not deliciously
refreshing, then it’s not Coca-

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Conditional
Statement
(If p, then q)
Inverse
(If not p, then not q)
Converse
(If q, then p)
Contrapositive
(If not q, then not p)
If it is
raining, then
the field is
wet.
If it is not
raining, then
the field is not
wet.
If the field
is wet,
then it is
raining.
If the field
is not wet,
then it is
not raining.

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Subtitle
Conditional
Statement
(If p, then q)
Inverse
(If not p, then not q)
Converse
(If q, then p)
Contrapositive
(If not q, then not p)
If V is the
midpoint of
AR then
AV=VR
V
•
• •
A R

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Short Quiz

24. Assignment
Situation: Last December 2021, the San Carlos
City was hit by typhoon Odette and a lot of
properties were damaged and lives lost due to
people’s unpreparedness towards typhoon.
Directions: Form at least three preventive
measures using conditional statements, then
transform them into its inverse, converse and

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