To match the given terms and definitions correctly, let's go through each one:
1. A polygon whose sides are all the same length and all of its angles are the same measure
This definition refers to a "regular polygon." A regular polygon has equilateral (all sides of equal length) and equiangular (all angles of equal measure) properties.
2. A closed figure made up of line segments
This definition describes a "polygon" in general. A polygon is any 2-dimensional shape formed with straight lines that are connected end to end to form a closed figure.
3. Outside angles
The term for this is "exterior angles." Exterior angles are the angles formed outside a polygon when one side is extended; these are on the outside of the polygon.
4. Inside angles
The term that matches this is "interior angles." Interior angles are the ones that lie within the boundaries of a polygon.
Therefore, to summarize, these are the correct matches:
1. A polygon whose sides are all the same length and all of its angles are the same measure - regular polygon
2. A closed figure made up of line segments - polygon
3. Outside angles - exterior angles
4. Inside angles - interior angles
