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