How can you rewrite the statement "Obtuse angles have greater measure than acute angle" so that it is a good definition?
"An obtuse angle is defined as having a measure greater than that of an acute angle."
To rewrite the statement "Obtuse angles have greater measure than acute angle" into a good definition, we can rephrase it as follows:
"An obtuse angle is an angle that measures greater than 90 degrees, whereas an acute angle is an angle that measures less than 90 degrees."
To rewrite the statement "Obtuse angles have greater measure than acute angles" as a good definition, we need to provide a clear and concise explanation without using the term we are defining (i.e., obtuse angles). Here's a possible rewrite:
"An obtuse angle is an angle that measures more than 90 degrees, while an acute angle is an angle that measures less than 90 degrees."
To arrive at this definition, we need to understand the concepts of obtuse and acute angles. Here's a step-by-step breakdown of how you can rewrite the statement:
1. Identify the terms to define: In this case, we need to define "obtuse angle" and "acute angle."
2. Understand the attributes of the terms: An obtuse angle is an angle that measures more than 90 degrees, while an acute angle is an angle that measures less than 90 degrees.
3. Express the definition without using the term being defined: Instead of directly stating that obtuse angles have a greater measure than acute angles, we can describe their measurement criteria without referring to the term "obtuse angle."
By following these steps, we can create a definition that conveys the meaning of obtuse and acute angles without circularly using their terms.