Logical Statements and Their Relationships

Logical Statements and Their Relationships

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video introduces logic concepts using statements about HB students and Virginia residents. It explains conditional statements, their converse, inverse, and contrapositive forms, and discusses logical equivalence. The video also covers biconditional statements using an example of acute angles, highlighting when statements and their converses are both true.

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23 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic introduced at the beginning of the video?

Introduction to mathematics

Introduction to logic

Introduction to history

Introduction to science

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a conditional statement?

A statement that uses 'because' and 'therefore'

A statement that uses 'but' and 'so'

A statement that uses 'and' and 'or'

A statement that uses 'if' and 'then'

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of logic, what does 'P implies Q' mean?

If P is true, then Q is false

If P is false, then Q is true

If P is false, then Q is false

If P is true, then Q is true

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the converse of the statement 'If a student attends HB, then they are a Virginia resident'?

If a student is a Virginia resident, then they attend HB

If a student does not attend HB, then they are not a Virginia resident

If a student is not a Virginia resident, then they do not attend HB

If a student attends HB, then they are not a Virginia resident

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the truth value of the converse of the statement about HB students?

True

False

True only in some cases

Cannot be determined

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse of the statement 'If a student attends HB, then they are a Virginia resident'?

If a student is not a Virginia resident, then they do not attend HB

If a student is a Virginia resident, then they attend HB

If a student does not attend HB, then they are not a Virginia resident

If a student attends HB, then they are not a Virginia resident

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the truth value of the inverse of the statement about HB students?

Cannot be determined

True only in some cases

True

False

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