This document discusses conditional statements and if-then statements. It provides examples of identifying the hypothesis and conclusion of conditional statements and transforming statements into equivalent if-then forms. The document also contains practice problems for learners to identify the hypothesis and conclusion of conditional statements and to write conditional statements in if-then form given a hypothesis and conclusion.

1. Conditional Statement
or If-then Statement.

2. Learning
Competency:
1. determines the relationship
between the hypothesis and the
conclusion of an if-then statement
2. transforms a statement into an
equivalent if-then statement.

3. Objectives
1.Identify the hypothesis and
conclusion of the conditional
statements
2. write a conditional statement (if –
then form) given hypothesis and
conclusion

4. 1. If I study hard, then I pass the
examination. What do you call the
underlined portion in the statement?
A. Argument
B. Conclusion
C. Hypothesis
D. Sentence
P R E T E S T

5. 2. In the statement “If I stay at home,
then I save lives.”, the underlined
portion is called ____________.
A. Argument
B. Conclusion
C. Hypothesis
D. Sentence
P R E T E S T

6. 3. Which of the following
statements is true?
A. Any four non-collinear points lie
in a distinct plane.
B. A plane contains at least 3 non-
collinear points.
C. Any two lines intersect at a
point.
D. Through two given points we
can draw 3 lines.
P R E T E S T

7. 4. If the sum of the measures of ∠ C
and ∠ D is equal to 90 degrees, then
______.
A. ∠ C and ∠ D are complementary angles.
B. ∠ C and ∠ D are congruent angles.
C. ∠ C and ∠ D are right angles.
D. ∠ C and ∠ D are supplementary angles.
.
P R E T E S T

8. 5. Supply a valid conclusion
for the given hypothesis:
If m ∠ A = 90, then ___________.
A. ∠ A is an acute angle.
B. ∠ A is a right angle.
C. ∠ A is an obtuse angle.
D. ∠ A is a reflex angle.
P R E T E S T

9. What are the 2 parts of
a sentence?
s u b j e c t
p r e d i c a t e

10. Identify the subject and
predicate in a sentence.
J u l i a n a i s d a n c i n g .

11. Conditional Statement
or If-then Statement.

13. Identify the hypothesis and
conclusion of each conditional.
Identifying the Parts of a
Conditional Statement
A. If today is Thanksgiving Day,
then today is Thursday.
Hypothesis: Today is Thanksgiving Day.
Conclusion: Today is Thursday.

14. LEARNING TASK #1

16. Write a conditional statement from the venn
diagram.
Writing a Conditional Statement
If an animal is a blue
jay, then it is a bird.
The inner oval represents the hypothesis, and
the outer oval represents the conclusion.

20. “If p, then q”
can also be written as
“if p, q,”
“q, if p,”
“p implies q,” and
“p only if q.”
Writing Conditional
Statements

21. ACTIVITY 1: LET’S PRACTICE!
Direction: For each conditional, underline the
hypothesis and circle the conclusion.
1.If I want to succeed in the future,
then I should continue my studies.
2. I would stay healthy if I will eat fruits and vegetables
regularly.
3. If a number is divisible by two, then it is even.
4. If Today is Monday, then yesterday was Sunday.
5. Frozen water implies its temperature is below 0℃.
LET’S PRACTICE

22. LEARNING TASK #2

23. TRANSFORM
Conditional Statement
IN
If-then Statement.

24. 1. 1. Wearing a mask helps prevent
the spread of Covid-19 virus.
Write the statement into
if – then form.
If you wear a mask,
then you help prevent
the spread of Covid-19
virus.

25. Hypothesis: You wear a mask.
Determine the hypothesis and
conclusion in the if-then form.
If you wear a mask, then you help
prevent the spread of Covid-19 virus.
Conclusion: You help prevent
the spread of Covid-19 virus.

26. 2. A cone has exactly one
endpoint.
Write the statement into
if – then form.
If a figure is a cone,
then it has exactly one
endpoint.

27. Hypothesis: A figure is a cone.
Determine the hypothesis and
conclusion in the if-then form.
If a figure is a cone, then it has exactly
one endpoint.
Conclusion: It has exactly one
endpoint.

28. 1. 3. All even numbers are divisible
by 2.
Write the statement into
if – then form.
If a number is even,
then it is divisible by 2.

29. Hypothesis: A number is
even.
Determine the hypothesis and
conclusion in the if-then form.
If a number is even, then it is divisible
by 2.
Conclusion: It is divisible by 2.

30. 1. I will wash the car if the
weather is nice.
Write the statement into
if – then form.
If the weather is nice,
then I will wash the car.

31. Hypothesis: The weather is
nice.
Determine the hypothesis and
conclusion in the if-then form.
If the weather is nice, then I will
wash the car.
Conclusion: I will wash the car.

32. 2. I will be a millionaire when I win
the lottery..
Write the statement into
if – then form.
If I win the lottery, then I
will be a millionaire.

33. Hypothesis: I win the lottery.
Determine the hypothesis and
conclusion in the if-then form.
If I win the lottery, then I will be a
millionaire.
Conclusion: I will be a
millionaire.

34. 1. 3. Buy one, take
one.
Write the statement into
if – then form.
If you buy one, then
you will get one.

35. Hypothesis: You buy one
Determine the hypothesis and
conclusion in the if-then form.
If you buy one, then you
will get one.
Conclusion: You will get one.

36. 4. Young actresses are
health conscious.
If the actresses are
young, then they are
health conscious.
Write the statement into
if – then form.

37. Hypothesis: The actresses are
young.
Determine the hypothesis and
conclusion in the if-then form.
If the actresses are young, then
they are health conscious.
Conclusion: They are health
conscious.

38. 5. Parallel lines do not
intersect.
If the lines are parallel,
then they do not
intersect.
Write the statement into
if – then form.

39. Hypothesis: The lines are
parallel.
Determine the hypothesis and
conclusion in the if-then form.
If the lines are parallel,
then they do not intersect.
Conclusion: They do not
intersect.

41. Truth table

42. Warm Up
Determine if each statement is true or
false.
1. The measure of an
obtuse angle is less than
90°. F

43. Warm Up
Determine if each statement is true or
false.
2. All perfect-square
numbers are positive. T

44. Warm Up
Determine if each statement is true or
false.
3. Every prime number is
odd. F

45. Warm Up
Determine if each statement is true or
false.
4. Any three points are
coplanar. T