What is a concave polygon with 4 sides?
A concave polygon is a polygon that is not convex. A simple polygon is concave iff at least one of its internal angles is greater than. . An example of a non-simple (self-intersecting) polygon is a star polygon. A concave polygon must have at least four sides.
What are the examples of concave polygon?
Concave polygon: If at least one angle of a polygon is more than 180°, then it is called a concave polygon. Examples of concave polygons: In the adjoining figure of a hexagon there are six interior angles i.e., ∠ABC, ∠BCD, ∠CDE, ∠DEF, ∠EFA and ∠FAB.
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. The diagonals are contained entirely inside of these quadrilaterals. Convex quadrilaterals can be classified into several sub-categories based on their sides and angles.
How do you know if a polygon is concave?
A concave polygon has at least one vertex that points inwards to give the concave shape. It has at least one reflex angle. It means that at least one of the interior angles is greater than 180° and less than 360° If a line segment is drawn crossing the concave polygon, it will intersect the boundary more than two times.
What are concave convex polygons?
A convex polygon has all its interior angles less than 180 degrees whereas a concave polygon has at least one interior angle more than 180 degrees.
What are convex and concave quadrilaterals?
A convex quadrilateral has both diagonals completely contained within the figure, while a concave one has at least one diagonal that lies partly or entirely outside of the figure. Those are good definitions, but the concave shapes having a cavity or cave is probably an easier way to remember it.
Is a square concave or convex?
convex polygon
A polygon in which all the interior angles are less than 180° is a convex polygon. Also in a square, all the vertices point outwards, which also makes it a convex shape. Therefore, a square is a convex polygon.
Is a Dodecagon convex or concave?
A dodecagon can also be classified as convex or concave. A convex dodecagon is a polygon where no line segment between any two points on its boundary lies outside of it….Dodecagon classifications.
| Regular dodecagon | Irregular dodecagon |
|---|---|
| All sides and interior angles are congruent | Sides and angles have various lengths |
What are the properties of a concave polygon?
The following are some of the important properties of a concave polygon: It has at least one reflex angle. It means that at least one of the interior angles is greater than 180° and less than 360°
How to construct a concave figure with 4 sides?
It is easy to construct a concave figure if the figure has at least 4 sides. Just make sure that one interior angle is bigger than 180 degrees. In other words, an interior angle should be a reflex angle.
Can a convex polygon have 3 sides?
A convex polygon can have 3 sides. A concave polygon has at least 4 sides. When a line is drawn inside a convex shape from any one side, it touches only 2 sides. When a line is drawn inside a concave shape from one side, it touches more than 2 sides. No diagonal in a convex polygon lies outside it.
Is a star a concave polygon?
Yes, a star is a concave polygon. Because concave polygon should have at least 4 sides. Also, one or more interior angles should be greater than 180 degrees. A regular polygon is a polygon where the length of each side is the same and all the interior angles are equal.