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WINTER Template Prepared by: Ma. Irene G. Gonzales Conditional Statements

Conditional Statements | If-then Statements

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Prepared by:Ma. Irene G. Gonzales

Conditional Statements

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Regrets

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combination of two

statements p and q and by the

words if and then

“If p, then q.”

Ma. Irene G. Gonzales © 2015

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p: Two distinct planes intersect.

q: The intersection is a line.

Conditional:

If two distinct planes intersect,

p

then their intersection is a line.

qMa. Irene G. Gonzales © 2015

if-then statement

In symbols,

p q

read if p then 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

Example 2

If I say bad words, then I will be punished.

hypothesis

conclusion

conclusion

Ma. Irene G. Gonzales © 2015

Identify the HYPOTHESIS and the CONCLUSION.

Example 3

If I study hard, then I will graduate.

hypothesis

Example 4

I’ll bring an umbrella if it rains tomorrow.

hypothesis

conclusion

conclusion

Ma. Irene G. Gonzales © 2015

Identify the HYPOTHESIS and the CONCLUSION.

Example 5

I’ll wash the dishes when I’m not busy.

hypothesis

Example 6

My mom will reward me after passing the test.

hypothesis

conclusion

conclusion

Ma. Irene G. Gonzales © 2015

WINTERTemplate

Identify the HYPOTHESIS and the CONCLUSION.

Example 7

If a polygon has six sides, then it is a hexagon.

hypothesis

Example 8

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

hypothesis

conclusion

conclusion

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 eighteen years old, then you are

eligible to 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 are congruent, then they have the

same length.

Example 8

All congruent angles have the same angle measure.

If angles are congruent, then they have the same

angle measure.Ma. Irene G. Gonzales © 2015

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Conditionals: True or False?

Conditionals can be either true or false.

A conditional is true if it can be verified by

the following:

• fact

• definition

• property

• postulate

• theoremMa. Irene G. Gonzales © 2015

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Conditionals: True or False?

Conditionals can be either true or false.

A false conditional occurs when:

the hypothesis is TRUE

the conclusion is FALSE

Example:

If there are three non-collinear points, then four lines

are formed.

If the sum of the angles of a polygon is 180 degrees,

then it is a square.Ma. Irene G. Gonzales © 2015

WINTERTemplate

Try these! Drill # 1 (1/4 sheet of paper)

Write each statement in if-then form.

1. The measure of an acute angle is between 0 and 90.

2. Equilateral triangles are equiangular.3. All whole numbers are integers.

Ma. Irene G. Gonzales © 2015

WINTERTemplate

Try these! Drill # 1 (1/4 sheet of paper)

Write each statement in if-then form.

1. The measure of an acute angle is between 0 and 90.If an angle is acute, then its measure is between 0 to 90.

2. Equilateral triangles are equiangular.If triangles are equilateral, then it is equiangular.

3. All whole numbers are integers.If it is a whole number, then it is an integer.

Ma. Irene G. Gonzales © 2015