## What polygons are convex?

# 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?**

hexadecagon

Answer (1 of 3): In mathematics, a hexadecagon (sometimes called a hexakaidecagon) or 16-gon is a sixteen-sided polygon. Hexadecagon – Wikipedia More than Four Sides.

**Are all polygons convex?**

Every polygon is either convex or concave. The difference between convex and concave polygons lies in the measures of their angles. For a polygon to be convex, all of its interior angles must be less than 180 degrees. Otherwise, the polygon is concave.

#### What is convex hexagon?

A convex hexagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. When any internal angle is greater than 180° it is concave. ( Think: concave has a “cave” in it)