What is a polygon in which all the sides are congruent and all the interior angles are congruent?

What is a polygon in which all the sides are congruent and all the interior angles are congruent?

Mathwords: Polygon. A closed plane figure for which all sides are line segments. A polygon which has all sides mutually congruent and all angles mutually congruent is called a regular polygon.

What is a polygon with all sides congruent?

Equilateral Polygon A polygon whose sides are congruent.

What is a polygon for which there is no line that contains both a side of the polygon and a point in the interior of the polygon?

A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon.

What is the polygon that has no diagonals?

triangle
So a triangle, the simplest polygon, has no diagonals. You cannot draw a line from one interior angle to any other interior angle that is not also a side of the triangle.

What is a polygon where all side lengths and angle measures are congruent?

A polygon which has all sides mutually congruent and all angles mutually congruent is called a regular polygon.

What do you call the endpoints where the sides of a polygon meet?

A polygon is the union of three or more line segments whose endpoints meet. The segments are called the sides of the polygon. The points at which the segments meet (always the endpoints of the segments) are called vertices. Vertices next to each other are called consecutive vertices.

What do you call a polygon with congruent sides and angles?

A regular polygon has congruent angles and congruent sides. Any polygon can be a regular polygon. Look at the regular polygons below. As you can see, a regular hexagon has six congruent sides and six congruent angles.

What name is given to a polygon with all sides equal angles?

Mark D. A polygon with equal sides and and angles is a regular polygon. If its sides or angles are not equal it is irregular.

What is the meaning of non convex polygon?

A polygon is convex if all the interior angles are less than 180 degrees. If one or more of the interior angles is more than 180 degrees the polygon is non-convex (or concave).

What is meant by convex polygon?

Definition of convex polygon : a polygon each of whose angles is less than a straight angle.

What do we call a regular polygon having four sides?

square
Regular polygon: A polygon having sides of equal length and angles of equal measures is called a regular polygon. i.e., A regular polygon is both equilateral and equiangular. (i) A regular polygon of 3 sides is called an equilateral triangle. (ii) A regular polygon of 4 sides is called a square.

What is a polygon with 4 sides?

Definition: A quadrilateral is a polygon with 4 sides. A diagonal of a quadrilat- eral is a line segment whose end-points are opposite vertices of the quadrilateral.

What is a polygon with all sides the same?

Regular Polygons. When a triangle has all the sides and angles the same, we know it as an equilateral triangle, or a regular triangle. A quadrilateral with all sides and angles the same is known as a square, or regular quadrilateral. A pentagon with all sides and angles the same is called a regular pentagon.

What do you call the line segments of a polygon?

The line segments of a polygon are called sides or edges. The point where two line segments meet is called vertex or corners, henceforth an angle is formed. An example of a polygon is a triangle with three sides.

What is the difference between convex polygon and regular polygon?

Poly- means “many” and -gon means “angle”. A regular polygon has all angles equal and all sides equal, otherwise it is irregular A convex polygon has no angles pointing inwards. More precisely, no internal angle can be more than 180°. If any internal angle is greater than 180° then the polygon is concave.

What are the interior and exterior angles of a regular polygon?

They are formed on the outside or exterior of the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line. In the figure, angles 1, 2, 3, 4 and 5 are the exterior angles of the polygon. Note: Exterior angles of a regular polygon are equal in measure.