# What polygons are convex?

## What polygons are convex?

A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon. Equivalently, it is a simple polygon whose interior is a convex set.

## What is a convex polygon with 4 sides?

Convex Quadrilaterals A convex quadrilateral is a four sided polygon that has interior angles that measure less than 180 degrees each. If a quadrilateral has two sets of parallel sides, it is classified as a parallelogram. Rectangles are parallelograms that have four right angles.

Is circle a convex polygon?

The interiors of circles and of all regular polygons are convex, but a circle itself is not because every segment joining two points on the circle contains points that are not on the circle.

Is a square convex?

A square is convex! Since a square is a polygon, we should also note that all of the square’s interior angles are 90 degrees, and thus all less than 180 degrees. Therefore, a square is convex.

### Is a convex?

Equivalently, a convex set or a convex region is a subset that intersects every line into a single line segment (possibly empty). For example, a solid cube is a convex set, but anything that is hollow or has an indent, for example, a crescent shape, is not convex. The boundary of a convex set is always a convex curve.

### What does convex stand for?

1a : curved or rounded outward like the exterior of a sphere or circle. b : being a continuous function or part of a continuous function with the property that a line joining any two points on its graph lies on or above the graph.

What is a 16 sided shape called?