Conditional and Biconditional Statements
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+6
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a conditional statement?
Back
A conditional statement is a logical statement that has the form 'If P, then Q', where P is the hypothesis and Q is the conclusion.
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
2.
FLASHCARD QUESTION
Front
What is a converse statement?
Back
The converse of a conditional statement 'If P, then Q' is 'If Q, then P'.
3.
FLASHCARD QUESTION
Front
What is a biconditional statement?
Back
A biconditional statement is a logical statement that combines a conditional and its converse, expressed as 'P if and only if Q'.
4.
FLASHCARD QUESTION
Front
What is a contrapositive statement?
Back
The contrapositive of a conditional statement 'If P, then Q' is 'If not Q, then not P'.
5.
FLASHCARD QUESTION
Front
What is an inverse statement?
Back
The inverse of a conditional statement 'If P, then Q' is 'If not P, then not Q'.
6.
FLASHCARD QUESTION
Front
How do you form the converse of the statement: 'If a polygon is a quadrilateral, then it is a trapezoid'?
Back
The converse is: 'If a polygon is a trapezoid, then it is a quadrilateral.'
7.
FLASHCARD QUESTION
Front
How do you form the contrapositive of the statement: 'If a polygon is a quadrilateral, then it is a trapezoid'?
Back
The contrapositive is: 'If a polygon is not a trapezoid, then it is not a quadrilateral.'
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