3-2 Biconditional Statements
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a biconditional statement?
Back
A biconditional statement is a statement that combines a conditional statement and its converse, expressed in the form 'P if and only if Q', meaning both P and Q are true or both are false.
2.
FLASHCARD QUESTION
Front
In order for a statement to be biconditional, both the conditional and converse statements need to be ____.
Back
true.
3.
FLASHCARD QUESTION
Front
What is the biconditional statement for 'If two lines have the same slope, then they are parallel' and 'If two lines are parallel, then they have the same slope'?
Back
Two lines are parallel if and only if they have the same slope.
4.
FLASHCARD QUESTION
Front
What is the biconditional statement for 'If two lines meet at 90 degrees, then they are perpendicular' and 'If two lines are perpendicular, then they meet at 90 degrees'?
Back
Two lines are perpendicular if and only if they meet at 90 degrees.
5.
FLASHCARD QUESTION
Front
Which of the following is a biconditional statement? 'If you do not vote, then you are not at least 18 years old.' or 'You can vote if and only if you are 18 years old.'
Back
You can vote if and only if you are 18 years old.
6.
FLASHCARD QUESTION
Front
What is the biconditional that matches the statement: 'A right angle is an angle with 90 degrees.'?
Back
An angle is a right angle if and only if it has 90 degrees.
7.
FLASHCARD QUESTION
Front
What does 'if and only if' signify in a biconditional statement?
Back
It signifies that both conditions must be true together or false together.
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