How to determine the converse from a conditional statement

How to determine the converse from a conditional statement

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of converse in conditional statements. It begins with an introduction to conditional forms, highlighting the structure of hypothesis and conclusion. The tutorial then demonstrates how to write the converse by swapping the hypothesis and conclusion. An example using vertical angles is provided to illustrate the concept.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct order of elements in a conditional statement?

Conclusion first, then hypothesis

Hypothesis first, then conclusion

Neither is required

Both are interchangeable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a converse statement, what happens to the 'if' and 'then' parts?

They are swapped

They are removed

They remain unchanged

They are reversed

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you form the converse of a statement 'If P then Q'?

If not P then Q

If P then not Q

If not Q then not P

If Q then P

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the converse of the statement 'If two angles are vertical, then they are congruent'?

If two angles are congruent, then they are vertical

If two angles are not congruent, then they are vertical

If two angles are not vertical, then they are not congruent

If two angles are congruent, then they are not vertical

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to specify 'two angles' when discussing vertical angles?

Because it clarifies the context

Because it is a stylistic choice

Because it is a mathematical rule

Because it is a grammatical requirement