Which of the following statements has a false converse?
Understand the Problem
The question is asking to identify which of the presented statements has a false converse. This involves understanding logical implications and their converses in geometry.
Answer
B. If a point bisects a segment into two congruent parts, then it is midpoint.
The final answer is B. If a point bisects a segment into two congruent parts, then it is midpoint.
Answer for screen readers
The final answer is B. If a point bisects a segment into two congruent parts, then it is midpoint.
More Information
The converse of statement B is: "If a point is a midpoint, then it bisects a segment into two congruent parts," which is true. However, the original converse is false.
Tips
A common mistake is not properly identifying if the converse logically follows the original statement. Always rewrite and analyze the converse accurately.
Sources
- Which of the following statements has a false converse? - numerade.com
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