Write the inverse of I f 3 x = 15 , t h e n x = 5. If\ 3x\ =\ 15,\ then\ x\ =\ 5.\ I f 3 x = 1 5 , t h e n x = 5 .

I f 3 x ≠ 15 , t h e n x ≠ 5. If\ \ 3x\ \ne15,\ then\ x\ne5. I f 3 x  = 1 5 , t h e n x  = 5 .

I f x ≠ 5 , t h e n 3 x ≠ 15. If\ x\ \ne5,\ then\ 3x\ \ne15. I f x  = 5 , t h e n 3 x  = 1 5 .

I f x = 5 , t h e n 2 x = 10. If\ x\ =\ 5,\ then\ 2x\ =\ 10. I f x = 5 , t h e n 2 x = 1 0 .

I f x = 5 , t h e n 3 x = 15. If\ x\ =\ 5,\ then\ 3x\ =\ 15.\ I f x = 5 , t h e n 3 x = 1 5 .

Write the converse of I f 3 x = 15 , t h e n x = 5. If\ 3x\ =\ 15,\ then\ x\ =\ 5.\ I f 3 x = 1 5 , t h e n x = 5 .

I f x = 5 , t h e n 3 x = 15. If\ x\ =\ 5,\ then\ 3x\ =\ 15.\ I f x = 5 , t h e n 3 x = 1 5 .

I f x ≠ 5 , t h e n 3 x ≠ 15. If\ x\ \ne5,\ then\ 3x\ \ne15. I f x  = 5 , t h e n 3 x  = 1 5 .

I f x = 5 , t h e n 2 x = 10. If\ x\ =\ 5,\ then\ 2x\ =\ 10. I f x = 5 , t h e n 2 x = 1 0 .

I f 3 x ≠ 15 , t h e n x ≠ 5. If\ \ 3x\ \ne15,\ then\ x\ne5. I f 3 x  = 1 5 , t h e n x  = 5 .

Write the contrapositive of I f 3 x = 15 , t h e n x = 5. If\ 3x\ =\ 15,\ then\ x\ =\ 5.\ I f 3 x = 1 5 , t h e n x = 5 .

I f x ≠ 5 , t h e n 3 x ≠ 15. If\ x\ \ne5,\ then\ 3x\ \ne15. I f x  = 5 , t h e n 3 x  = 1 5 .

I f x = 5 , t h e n 2 x = 10. If\ x\ =\ 5,\ then\ 2x\ =\ 10. I f x = 5 , t h e n 2 x = 1 0 .

I f 3 x ≠ 15 , t h e n x ≠ 5. If\ \ 3x\ \ne15,\ then\ x\ne5. I f 3 x  = 1 5 , t h e n x  = 5 .

I f x = 5 , t h e n 3 x = 15. If\ x\ =\ 5,\ then\ 3x\ =\ 15.\ I f x = 5 , t h e n 3 x = 1 5 .

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Math

Algebra

Conditional Statements

Conditional Statements Review

Presentation

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

L.2.1F, HSG.CO.C.10, HSS.CP.A.5

+11

Standards-aligned

Soran Kim

Used 18+ times

FREE Resource

5 Slides • 25 Questions

Conditional Statements Review

What is a conjecture?

an opinion or conclusion formed on the basis of incomplete information.

What is a counterexample?

Example: All animals have fur.

Counterexample: Fish (fish does not have fur)

Multiple Choice

True or False: a counterexample is an example that makes a definition or conjecture incorrect

True

False

Multiple Choice

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

goldfish

frog

elephant

cat

Multiple Choice

If something is an angle, then it is acute. What is an appropriate counterexample?

70⁰

45⁰

120⁰

True. There is no counterexample.

Multiple Choice

If something is a vehicle, then it is a Hyundai. What is an appropriate counterexample?

Hyundai Sonata

Mercedes Benz

Hyundai Genesis

Both A and C are counterexamples.

Logic Statement _Hypothesis_p_Conclusion_q

Conditional p→q If you are an artist, then you draw well
Inverse ~p→~q If you are not an artist, then you do not draw well
Converse q→p If you draw well, then you are an artist
Contrapositive ~q→~p If you do not draw well, then you are not an artist
Biconditional p↔q You are an artist IF AND ONLY IF you draw well

Biconditional statement

Usually is a definition since both ways are true

Example:

If a polygon is a triangle, it has three sides.

If a polygon has three sides, it is a triangle.

Biconditional: A polygon is a triangle if and only if it has three sides.

Multiple Choice

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

Conditional

Conjecture

Biconditional

Multiple Choice

This symbol, ↔, means?

and

if and only if

implies

Multiple Select

What are the two parts of a conditional statement?

Hypothesis

Conclusion

Converse

Inverse

Multiple Choice

What is it hypothesis in the statement:" If today is Tuesday, then we have school."?

Tomorrow is Wednesday.

We have school.

Today is Tuesday.

We do not have school.

Multiple Choice

Write the conclusion of the statement,

"If you are Anthony Rizzo, then you are a Chicago Cub."

You are Anthony Rizzo.

You are a Chicago Cub.

The Cubs are the best.

Multiple Choice

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars

Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend

Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life

Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends

Multiple Choice

What is this?

Conditional Statement

Inverse

Converse

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

Multiple Choice

p→q
What is the converse?

q→p

∼p→∼q

∼q→∼p

p→∼q

Multiple Choice

What does this mean?

Conditional Statement

Inverse Statement

Converse Statement

Contrapositive Statement

Multiple Choice

What is this mean?

Conditional Statement

Converse

Inverse

Contrapositive

Multiple Choice

Write the inverse of the following statement.

"If a figure is a triangle, then the angles add to 180.

If a figure is not a triangle, then the angles do not add to 180.

If the angles of a figure do not add to 180, then it is not a triangle.

If a figure has angles that add to 180, then it is a triangle.

Multiple Choice

Write the inverse of
$If\ 3x\ =\ 15,\ then\ x\ =\ 5.\$

$If\ x\ \ne5,\ then\ 3x\ \ne15.$

$If\ x\ =\ 5,\ then\ 2x\ =\ 10.$

$If\ \ 3x\ \ne15,\ then\ x\ne5.$

$If\ x\ =\ 5,\ then\ 3x\ =\ 15.\$

Multiple Choice

Write the converse of
$If\ 3x\ =\ 15,\ then\ x\ =\ 5.\$

$If\ x\ \ne5,\ then\ 3x\ \ne15.$

$If\ x\ =\ 5,\ then\ 2x\ =\ 10.$

$If\ \ 3x\ \ne15,\ then\ x\ne5.$

$If\ x\ =\ 5,\ then\ 3x\ =\ 15.\$

Multiple Choice

Write the contrapositive of the following statement.

"If a figure is a triangle, then the angles add to 180.

If a figure is not a triangle, then the angles do not add to 180.

If the angles of a figure do not add to 180, then it is not a triangle.

If a figure has angles that add to 180, then it is a triangle.

Multiple Choice

Original: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.

Converse

Inverse

Contrapositive

Negation

Multiple Choice

Write the contrapositive of
$If\ 3x\ =\ 15,\ then\ x\ =\ 5.\$

$If\ x\ \ne5,\ then\ 3x\ \ne15.$

$If\ x\ =\ 5,\ then\ 2x\ =\ 10.$

$If\ \ 3x\ \ne15,\ then\ x\ne5.$

$If\ x\ =\ 5,\ then\ 3x\ =\ 15.\$

Multiple Choice

Write the converse of the following statement.

"If a figure is a triangle, then the angles add to 180.

If a figure is not a triangle, then the angles do not add to 180.

If the angles of a figure do not add to 180, then it is not a triangle.

If a figure has angles that add to 180, then it is a triangle.

Multiple Choice

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

If you are late to school, then you will miss the bus.

If you miss the bus, then you will be late to school

If you sleep late, then you don't have to go to school.

If you miss the bus, then you'll have to walk and be late.

Multiple Choice

Rewrite the statement as a conditional statement.

"All dolphins are mammals."

If a dolphin, then a mammal.

If an animal is a dolphin, then it is a mammal.

If an animal is a mammal, then it is a dolphin.

If an animal is not a mammal, then it is not a dolphin.

Multiple Choice

Rewrite the statement as a conditional statement.

"The sum of the angles of a triangle is 180."

If the sum of the angles of a triangle, then 180.

If a figure is a triangle, then the sum of the angles is 180.

If a figure sums angles, then the triangle is 180.

Multiple Choice

Write the following statement in if-then form.
All students at Hermitage take an English class.

If you take an English class, then you are a student at Hermitage.

If you are a student at Hermitage, then you take an English. class

Conditional Statements Review

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