Question

question 1 - 16
read the statement.
\if a figure is a square, then it is a rhombus.\
click to show whether each statement is inverse, converse, or contrapositive of the given statement.
if a figure is a rhombus, then it is a square.
if a figure is not a square, then it is not a rhombus.
if a figure is not a rhombus, then it is not a square.

Explanation:

1. For a conditional statement "If p, then q", the converse is "If q, then p", the inverse is "If not p, then not q", and the contrapositive is "If not q, then not p". Here, p is "a figure is a square" and q is "it is a rhombus".

• "If a figure is a rhombus, then it is a square" swaps the hypothesis and conclusion, so it is the converse.
• "If a figure is not a square, then it is not a rhombus" negates both the hypothesis and conclusion, so it is the inverse.
• "If a figure is not a rhombus, then it is not a square" negates and swaps the hypothesis and conclusion, so it is the contrapositive.

Answer:

If a figure is a rhombus, then it is a square: Converse
If a figure is not a square, then it is not a rhombus: Inverse
If a figure is not a rhombus, then it is not a square: Contrapositive