Conditional Statements

The

If-Then

Statement

​

Hypotheses and Conclusions

A conditional statement (also called an if-then statement) is a statement with a hypothesis followed by a conclusion.

The conclusion is the result of a hypothesis.

Identify hypotheses and conclusions

If you get good grades, Then you will get into a good college.

The part after the "if": you get good grades - is called a hypotheses and the part after the "then" - you will get into a good college - is called a conclusion. ...

IF hypotheses THEN conclusions

If x = 3, then x² = 9.

Hypothesis: "x = 3"

Conclusion: "x² = 9"

IF hypotheses THEN conclusions

If you do your homework, then you can watch TV.

Hypothesis: "you do your homework"

Conclusion: "you can watch TV"

If-then statements might not always be written in the “if-then” form.

Here are some examples of conditional statements:

Statement 1: If you work overtime, then you’ll be paid time-and-a-half.

Statement 2: I’ll wash the car if the weather is nice.

Statement 3: If 2 divides evenly into x, then x is an even number.

Statement 4: I’ll be a millionaire when I win the lottery.

Statement 5: All equiangular triangles are equilateral.

IF hypotheses THEN conclusions

 I'll bring an umbrella if it rains.

Hypothesis: "It rains."

Conclusion: "I'll bring an umbrella."

IF hypotheses THEN conclusions

If a triangle has three congruent sides, it is an equilateral triangle.

Hypothesis: "a triangle has three congruent sides"

Conclusion: "a triangle is an equilateral triangle."

Multiple Choice

What is the hypothesis in this conditional statement?

If it is my birthday, then I eat birthday cake.

• It's my birthday

• I eat birthday cake.

Multiple Choice

What is the hypothesis in this conditional statement?

If 7y - 5 = 9, then y = 2.

• 7y - 5 = 9

• y = 2

Multiple Choice

What is the conclusion in this conditional statement?

If Leon is serving an apple pie, then he is serving a dessert.

• Leon is serving an apple pie

• Leon is serving dessert

Multiple Choice

What is the hypothesis in this conditional statement?

If Greta wants to eat dessert, then she must finish her dinner.

• Greta wants to eat dessert

• Greta must finish her dinner.

Multiple Choice

What is the conclusion in this conditional statement?

If a quadrilateral has no right angles, then it is not a rectangle.

• a quadrilateral has no right angles

• a quadrilateral is not a rectangle.

Multiple Choice

I'll learn how to drive when I am 16 years old.

"I am 16 years old" is considered the:

• hypothesis

• conclusion

Poll

My understanding of hypotheses and conclusions and HOW to identify them is:

• 100% I Got This !!!

• This is EASY stuff ... well most of it is !

• I'm getting it, BUT need some more practice to strengthen my understanding

• My conclusion is I have no idea ...

The

If-Then

Statement

​

Hypotheses and Conclusions

A conditional statement (also called an if-then statement) is a statement with a hypothesis followed by a conclusion.

The conclusion is the result of a hypothesis.

Identify hypotheses and conclusions

If you get good grades, Then you will get into a good college.

The part after the "if": you get good grades - is called a hypotheses and the part after the "then" - you will get into a good college - is called a conclusion. ...

IF hypotheses THEN conclusions

If x = 3, then x² = 9.

Hypothesis: "x = 3"

Conclusion: "x² = 9"

IF hypotheses THEN conclusions

If you do your homework, then you can watch TV.

Hypothesis: "you do your homework"

Conclusion: "you can watch TV"

If-then statements might not always be written in the “if-then” form.

Here are some examples of conditional statements:

Statement 1: If you work overtime, then you’ll be paid time-and-a-half.

Statement 2: I’ll wash the car if the weather is nice.

Statement 3: If 2 divides evenly into x, then x is an even number.

Statement 4: I’ll be a millionaire when I win the lottery.

Statement 5: All equiangular triangles are equilateral.

IF hypotheses THEN conclusions

 I'll bring an umbrella if it rains.

Hypothesis: "It rains."

Conclusion: "I'll bring an umbrella."

IF hypotheses THEN conclusions

If a triangle has three congruent sides, it is an equilateral triangle.

Hypothesis: "a triangle has three congruent sides"

Conclusion: "a triangle is an equilateral triangle."

Multiple Choice

What is the hypothesis in this conditional statement?

If it is my birthday, then I eat birthday cake.

• It's my birthday

• I eat birthday cake.

Multiple Choice

What is the hypothesis in this conditional statement?

If 7y - 5 = 9, then y = 2.

• 7y - 5 = 9

• y = 2

Multiple Choice

What is the conclusion in this conditional statement?

If Leon is serving an apple pie, then he is serving a dessert.

• Leon is serving an apple pie

• Leon is serving dessert

Multiple Choice

What is the hypothesis in this conditional statement?

If Greta wants to eat dessert, then she must finish her dinner.

• Greta wants to eat dessert

• Greta must finish her dinner.

Multiple Choice

What is the conclusion in this conditional statement?

If a quadrilateral has no right angles, then it is not a rectangle.

• a quadrilateral has no right angles

• a quadrilateral is not a rectangle.

Multiple Choice

I'll learn how to drive when I am 16 years old.

"I am 16 years old" is considered the:

• hypothesis

• conclusion

Poll

My understanding of hypotheses and conclusions and HOW to identify them is:

• 100% I Got This !!!

• This is EASY stuff ... well most of it is !

• I'm getting it, BUT need some more practice to strengthen my understanding

• My conclusion is I have no idea ...