Rewrite the two statements as a single biconditional statement: A rectangle is a quadrilateral that has all perpendicular sides. If all sides of a quadrilateral are perpendicular, then it is a rectangle.

A quadrilateral is a rectangle if and only if it has all perpendicular sides

If a quadrilateral is a rectangle, then it has all perpendicular sides

If all sides of a quadrilateral are perpendicular, then it is a rectangle

A quadrilateral is a rectangle if it has all perpendicular sides

Rewrite the conditional statement in if-then form: 3x + 2 = 23, because x = 7.

If 3 x + 2 ≠ 23 3x\ +\ 2\ne23 3 x + 2  = 2 3 , then x ≠ 7 x\ne7 x  = 7

If x ≠ 7 x\ne7 x  = 7 , then 3 x + 2 ≠ 23 3x+2\ne23 3 x + 2  = 2 3

Which conditional statements are true, given that m ∠ I L H = 38 ° m\angle ILH\ =\ 38\degree m ∠ I L H = 3 8 ° Use the definitions of supplementary and complementary angles that you have learned so far.

I f m ∠ I L H = 38 ° , t h e n m ∠ G L H = 52 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle GLH\ =\ 52\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ G L H = 5 2 °

I f m ∠ I L H = 38 ° , t h e n m ∠ G H L = 90 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle GHL\ =\ 90\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ G H L = 9 0 °

I f m ∠ I L H = 38 ° , t h e n m ∠ G L H = 180 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle GLH\ =\ 180\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ G L H = 1 8 0 °

I f m ∠ I L H = 38 ° , t h e n m ∠ G L H = 142 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle GLH\ =\ 142\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ G L H = 1 4 2 °

Which conditional statements are true, given that m ∠ I L H = 38 ° m\angle ILH\ =\ 38\degree m ∠ I L H = 3 8 ° Use the definitions of vertical, supplementary and complementary angles that you have learned so far.

I f m ∠ I L H = 38 ° , t h e n m ∠ H L F = 142 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle HLF=\ 142\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ H L F = 1 4 2 °

I f m ∠ I L H = 38 ° , t h e n m ∠ H L F = 90 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle HLF\ =\ 90\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ H L F = 9 0 °

I f m ∠ I L H = 38 ° , t h e n m ∠ H L F = 180 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle HLF=\ 180\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ H L F = 1 8 0 °

I f m ∠ I L H = 38 ° , t h e n m ∠ H L F = 52 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle HLF\ =\ 52\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ H L F = 5 2 °

Which conditional statements are true, given that m ∠ I L H = 38 ° m\angle ILH\ =\ 38\degree m ∠ I L H = 3 8 ° Use the definitions of vertical, supplementary and complementary angles that you have learned so far.

I f m ∠ I L H = 38 ° , t h e n m ∠ K L F = 38 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle KLF=\ 38\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ K L F = 3 8 °

I f m ∠ I L H = 38 ° , t h e n m ∠ K L F = 90 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle KLF\ =\ 90\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ K L F = 9 0 °

I f m ∠ I L H = 38 ° , t h e n m ∠ K L F = 52 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle KLF\ =\ 52\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ K L F = 5 2 °

I f m ∠ I L H = 38 ° , t h e n m ∠ K L F = 142 ° If\ m\angle ILH\ =\ 38\degree,\ then\ m\angle KLF=\ 142\degree I f m ∠ I L H = 3 8 ° , t h e n m ∠ K L F = 1 4 2 °

2.1 Practice B

Authored by Paul Amy

Mathematics

10th Grade

Used 29+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

14 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the Hypothesis and Conclusion of the following Conditional Statement:

If you like to eat, then you are a good cook.

H: you like to eat

C: you are a good cook

H: you are a good cook

C: you like to eat

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the Hypothesis and Conclusion of the following Conditional Statement:

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

H: it is a mammal

C: an animal is a bear

H: an animal is a bear

C: it is a mammal

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let p be “a tree is an oak tree” and let q be “it is a deciduous tree.” Write the conditional statement in words. Then decide whether it is true or false.

If a tree is a deciduous tree, then it is an oak tree; True

If a tree is an oak tree, then it is a deciduous tree; True

If a tree is a deciduous tree, then it is an oak tree; False

If a tree is an oak tree, then it is a deciduous tree; False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let p be “a tree is an oak tree” and let q be “it is a deciduous tree.” Write the converse in words. Then decide whether it is true or false.

If a tree is a deciduous tree, then it is an oak tree; True

If a tree is an oak tree, then it is a deciduous tree; True

If a tree is a deciduous tree, then it is an oak tree; False

If a tree is an oak tree, then it is a deciduous tree; False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let p be “a tree is an oak tree” and let q be “it is a deciduous tree.” Write the inverse in words. Then decide whether it is true or false.

If a tree is not a deciduous tree, then it is not an oak tree; True

If a tree is not an oak tree, then it is not a deciduous tree; True

If a tree is not a deciduous tree, then it is not an oak tree; False

If a tree is not an oak tree, then it is not a deciduous tree; False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let p be “a tree is an oak tree” and let q be “it is a deciduous tree.” Write the contrapositive in words. Then decide whether it is true or false.

If a tree is not a deciduous tree, then it is not an oak tree; True

If a tree is not an oak tree, then it is not a deciduous tree; True

If a tree is not a deciduous tree, then it is not an oak tree; False

If a tree is not an oak tree, then it is not a deciduous tree; False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Decide whether the statement about the diagram is true or false

True

False

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

22 questions

School Wide Vocab Group 1 Master

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

19 questions

Explore Probability Concepts

Quiz

•

7th - 12th Grade

43 questions

STAAR WEEK 1

Quiz

•

9th - 12th Grade

10 questions

Exploring Abiotic and Biotic Factors in Ecosystems

Interactive video

•

6th - 10th Grade

10 questions

Exploring Tree Diagrams in Probability

Interactive video

•

6th - 10th Grade

20 questions

Simple Probability

Quiz

•

10th Grade

11 questions

Solving Quadratic Equations by Factoring

Quiz

•

9th - 12th Grade

2.1 Practice B

Identify the Hypothesis and Conclusion of the following Conditional Statement:If you like to eat, then you are a good cook.

Identify the Hypothesis and Conclusion of the following Conditional Statement:If an animal is a bear, then it is a mammal.

Let p be “a tree is an oak tree” and let q be “it is a deciduous tree.” Write the conditional statement in words. Then decide whether it is true or false.

Let p be “a tree is an oak tree” and let q be “it is a deciduous tree.” Write the converse in words. Then decide whether it is true or false.

Let p be “a tree is an oak tree” and let q be “it is a deciduous tree.” Write the inverse in words. Then decide whether it is true or false.

Let p be “a tree is an oak tree” and let q be “it is a deciduous tree.” Write the contrapositive in words. Then decide whether it is true or false.

Decide whether the statement about the diagram is true or false

Decide whether the statement about the diagram is true or false

Rewrite the two statements as a single biconditional statement: A rectangle is a quadrilateral that has all perpendicular sides. If all sides of a quadrilateral are perpendicular, then it is a rectangle.

Your friend claims that only true conditional statements have a true contrapositive.

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

Identify the Hypothesis and Conclusion of the following Conditional Statement:

If you like to eat, then you are a good cook.

Identify the Hypothesis and Conclusion of the following Conditional Statement:

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