Problem: Given the true statement: If a quadrilateral is a square, then it is a rectangle. It follows that, of the converse and the inverse of this true statement,
Answer Choices:
A. only the converse is true
B. only the inverse is true
C. both are true
D. neither is true
E. the inverse is true, but the converse is sometimes true
Solution:
The converse is: If a quadrilateral is a rectangle, then it is a square.
The inverse is: If a quadrilateral is not a square, then it is not a rectangle.
Both statements are false.
or
Use Venn diagrams to picture the sets mentioned.