This powerpoint illustrate what is inverse, converse and contrapositive and shows examples.

1. QUARTER 2 MODULE 5
INVERSE, CONVERSE,
CONTRAPOSITIVE
Lesson 3.9
Quarter 3

2. Recap Activity:
Translate the following Tagalog sentence into a Conditional
Statements.
1. Si Andrea ay palaging maaga magising sa umaga kaya
hindi siya nahuhuli sa pagpasok sa eskuwelahan.
2. Hindi nagkakasakit si Juan dahil mahilig siyang kumain
ng mga masusustansiyang pagkain.
3. Kapag nag aral kang Mabuti, makakapasa ka.

3. ACTIVITY
 Identify the Hypothesis and Conclusions of the
following sentences:
1. If an angle measures 900, then it is a right angle.
2. If an angle does not measure 900, then it is not a
right angle.
3. If an angle is a right angle, then it measures 900.
4. If an angle is not a right angle, then it does not
measure 900.

4. Arrange the jumble letters
EIRVENSE
Answer: INVERSE

5. Arrange the jumble letters
NOCRVESE
Answer: CONVERSE

6. Arrange the jumble letters
TRACONEVITISOP
Answer: CONTRAPOSITIVE

7. INVERSE
The inverse of an if-then
statement is formed by negating
both the hypothesis and the
conclusion.
not p → not q

8. CONVERSE
The converse of an if-then
statement is formed by
interchanging the hypothesis
and the conclusion.
q → p

9. CONTRAPOSITIVE
The contrapositive of an if-then
statement is formed by interchanging
the hypothesis and the conclusion
and negating both.
not q → not p

10. EXAMPLES
Conditional Statements:
If you eat a balance diet, then you will be healthy.
Inverse Statements:
If you will not eat a balance diet, then you will not
be healthy.

11. EXAMPLES
Conditional Statements:
If you eat a balance diet, then you will be healthy.
Converse Statements:
If you are healthy, then you eat a balance diet.

12. EXAMPLES
Conditional Statements:
If you eat a balance diet, then you will be healthy.
Contrapositive Statements:
If you are not healthy, then you did not eat a
balance diet.

13. GROUP ACTIVITY
GROUP 1: If a triangle is obtuse, then it has one obtuse
angle.
GROUP 2: If the measure of an angle is 90 degrees, then it
is right angle.
GROUP 3: If a number is divisible by 2, then it is even.
GROUP 4: If two lines are perpendicular, then they
intersect in the form of right angles.
GROUP 5: If today is Wednesday, then tomorrow is
Thursday.

14. GROUP 1:
If a triangle is
obtuse, then it has
one obtuse angle.

15. GROUP 2:
If the measure of an angle is
90 degrees, then it is right
angle.

16. GROUP 3:
If a number is divisible
by 2, then it is even.

17. GROUP 4:
If two lines are
perpendicular, then
they intersect in the
form of right angles.

18. GROUP 5:
If today is
Wednesday, then
tomorrow is
Thursday.