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If Then Statements Math

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If-Then Statements

WINTE
Template

Regr
R

ets
WINTE
Templat

R
e
combination of two
statements p and q and by the
words if and then
“If p, then q.”

Ma. Irene G. Gonzales ©


2015
WINTE
Template

R
p: Two distinct planes
intersect.
q: The intersection is a line.
Conditional:
If two distinct planes intersect,
p
then their intersection is a line.
Ma. Irene G. Gonzales ©
2015 q
if-then statement
In symbols, read if p then q,
p q or p implies q

Ma. Irene G. Gonzales ©


2015
Take note!
Conditional statements might NOT always
be written in the “if-then” form.
Examples:
I’ll wash the car if the weather is nice.
If the weather is nice, then I will wash the car.

I’ll be a millionaire when I win the lottery.


If I win the lottery, then I will be a
millionaire.
Ma. Irene G. Gonzales ©
2015
Identify the HYPOTHESIS and the
CONCLUSION.
Example 1
If I win the game, then I’ll get a prize.

hypothesis conclusion
Example 2
If I say bad words, then I will be punished.

hypothesi conclusion
s
Ma. Irene G. Gonzales ©
2015
Identify the HYPOTHESIS and the
CONCLUSION.
Example 3
If I study hard, then I will graduate.

hypothesis conclusion
Example 4
I’ll bring an umbrella if it rains tomorrow.

conclusion hypothesi
s
Ma. Irene G. Gonzales ©
2015
Identify the HYPOTHESIS and the
CONCLUSION.
Example 5
I’ll wash the dishes when I’m not busy.

conclusion hypothesis
Example 6
My mom will reward me after passing
the test.
conclusion hypothesi
s
Ma. Irene G. Gonzales ©
2015
Identify the HYPOTHESIS and the
CONCLUSION.
Example 7 WINTE
hexagon.
hypothesis
R
If a polygon has siTxesmidpesl,attheenit is a

conclusion
Example 8
If a number is even, then it is divisible by two.

hypothesi conclusion
s
Ma. Irene G. Gonzales ©
2015
Write the following statements in if-then
form.
Example 1
Cheese contains calcium.
If it is a cheese, then it contains
calcium.

Example 2
Eighteen-year-olds are eligible to drive.
If you are
eligible to eighteen years old, then you
are
drive.
Ma. Irene G. Gonzales ©
2015
Write the following statements in if-then
form.
Example 3
Thomasians are humble.
If you are a Thomasian, then you are humble.

Example 4
A right angle measures 90 degrees.
If it is a right angle, then it measures 90
degrees.

Ma. Irene G. Gonzales ©


2015
Write the following statements in if-then
form.
Example 5
In the equation 10x = 5, x = 2.
If 10x = 5, then x = 2.

Example 6
A polygon with four sides is a
quadrilateral.
If a polygon has four sides, then it is a
quadrilateral.

Ma. Irene G. Gonzales ©


2015
Write the following statements in if-then
form.
Example 7
All congruent segments have the same
length.
If segments
same length.are congruent, then they have
the
Example 8
All congruent angles have the same
angle measure.
If angles are congruent, then they have
the
angle same
Ma. Irenmeasure.
e G. Gonzales ©
2015
Conditionals: True or
False? W
Conditionals can be

IN T E R
the following:
eith er
• fact
true or f
if it can be verified by
alse .
T e
A conditional is tr u e
mplate
• definition
• property
• postulate
• theorem
Ma. Irene G. Gonzales ©
2015
False? W
Conditionals: True or
Conditionals can be

eith er IN T E R
true or f alse .
Template
A false conditional occurs when:
the hypothesis is TRUE
the conclusion is FALSE
Example:
If there are three non-collinear points, then four lines
M a. Ire
are ne G. Gonzales ©
formed.
2015
Try these! Drill # 1(1/4 sheet of
paper) R
Write each statem
Templat W
ent in
1. The measure ofean acute angle is between
0 and 90.
2. Equilateral triangles are equiangular.

I N T E
3. All whole numbers are integers.
i f-t hen f orm .

Ma. Irene G. Gonzales ©


2015
Try these! Drill # 1(1/4 sheet of
paper) R
Write each W T
statem e m p
ent l
in
1. The measure of a n ac u t e a ngle is
a t e
between 0 and 90.
If an angle is acute, then its measure

I N T E
is between 0 to 90.
2. Equilateral triangles are
i f-t hen f If triangles
equiangular. orm are .
equilateral, then it is equiangular.
3. All whole numbers are integers.
If it is a whole number, then it is
Ma. Iran integer.
ene G. Gonzales ©
2015

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