Converse Statements

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•
Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a converse statement?
Back
A converse statement is formed by reversing the hypothesis and conclusion of a conditional statement. For example, the converse of 'If P, then Q' is 'If Q, then P.'
2.
FLASHCARD QUESTION
Front
What is the converse of 'If it is raining, then the ground is wet'?
Back
The converse is 'If the ground is wet, then it is raining.'
3.
FLASHCARD QUESTION
Front
How do you identify the hypothesis and conclusion in a conditional statement?
Back
In a conditional statement 'If P, then Q', P is the hypothesis (the condition) and Q is the conclusion (the result).
4.
FLASHCARD QUESTION
Front
What is the converse of 'If a shape is a square, then it has four sides'?
Back
The converse is 'If a shape has four sides, then it is a square.'
5.
FLASHCARD QUESTION
Front
Is the converse of a true statement always true?
Back
No, the converse of a true statement is not necessarily true. For example, 'If it is a dog, then it is an animal' is true, but its converse 'If it is an animal, then it is a dog' is false.
6.
FLASHCARD QUESTION
Front
What is the converse of 'If you study hard, then you will pass the exam'?
Back
The converse is 'If you pass the exam, then you studied hard.'
7.
FLASHCARD QUESTION
Front
What is the converse of 'If a number is even, then it is divisible by 2'?
Back
The converse is 'If a number is divisible by 2, then it is even.'
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