Ohio Assessments for Educators (OAE) Mathematics Practice Exam

Which term describes a polygon where all diagonals lie within the shape?

1. Concave Polygon

2. Convex Polygon

3. Simple Polygon

4. Complex Polygon

The correct answer is: Convex Polygon

A polygon where all diagonals lie within the shape is classified as a convex polygon. In this type of polygon, any line segment connecting two points inside the polygon will also lie entirely within it. This characteristic ensures that no internal angles exceed 180 degrees, contributing to the diagonals remaining inside the boundary of the polygon. The defining feature of convex polygons is that they do not bend inward. In contrast, a concave polygon has at least one internal angle greater than 180 degrees, leading to at least one diagonal that lies outside the shape. Simple and complex polygons refer to the intersection of sides and do not directly relate to the positioning of diagonals. Simple polygons have non-intersecting sides, while complex polygons have self-intersecting sides. Therefore, the other options do not encompass the specific characteristic that defines the placement of the diagonals within the polygon.