Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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Which shape has fewer sides than a dodecagon but more than a nonagon?

  1. Decagon

  2. Hexagon

  3. Heptagon

  4. Triangle

The correct answer is: Decagon

A dodecagon is a polygon with 12 sides, and a nonagon is a polygon with 9 sides. To find a shape that has fewer sides than a dodecagon (12 sides) but more than a nonagon (9 sides), we need to consider the number of sides of each shape listed in the choices. A decagon is a polygon with 10 sides, which indeed fits the criteria of being greater than 9 and less than 12. The other shapes mentioned — hexagon, heptagon, and triangle — have 6, 7, and 3 sides, respectively. These do not satisfy the requirement of having more than 9 sides. Thus, the only shape that meets the condition of having fewer sides than a dodecagon while having more than a nonagon is the decagon, confirming that it is the correct choice.