Consider the following statement:A trapezoid is a four-sided figure with one set of parallel lines.Enter 1 if the statement is a conjecture.Enter 2 if the statement is a definition.Enter 3 if the statement is a theorem.
Enter 2 if the statement is a definition.
Enter 2 if the statement is a definition.
To determine whether the given statement is a conjecture, definition, or theorem, we need to understand the definitions of each term:
1. Conjecture: A conjecture is an idea or statement that is based on incomplete information or reasoning, requiring further investigation or proof.
2. Definition: A definition is a statement that describes the meaning of a term, concept, or object. Definitions are usually accepted as true and do not require proof.
3. Theorem: A theorem is a statement that has been proven to be true using established mathematical reasoning and proof techniques.
Looking at the given statement, "A trapezoid is a four-sided figure with one set of parallel lines," we consider that a trapezoid is defined as a quadrilateral with at least one pair of parallel sides. Therefore, the statement is defining what a trapezoid is and can be classified as a definition.
Therefore, you should enter 2 if the statement is a definition.