43.0k views
1 vote
Determine if the conditional statement ""If three points are collinear, then they lie on the same line." can be turned into a biconditional. Explain your reasoning.

1 Answer

2 votes

Final answer:

No, the conditional statement "If three points are collinear, then they lie on the same line" cannot be turned into a biconditional.

Step-by-step explanation:

No, the conditional statement "If three points are collinear, then they lie on the same line" cannot be turned into a biconditional. A biconditional statement is a combination of a conditional statement and its converse, where both statements imply each other. In this case, the converse of the conditional statement would be "If three points lie on the same line, then they are collinear." However, the converse is not always true. There are cases where three points can lie on the same line but not be collinear, such as when they are at different distances from each other along the line.

User Bevacqua
by
8.1k points