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What is a convex polygon with all sides congruent and all angles congruent?
A convex polygon with congruent sides and congruent angles is a regular polygon.Some regular pilgrims have specific names: Equilateral triangle and square
Is a semicircle a convex polygon?
It is convex if you look at it from the inside but it is not any kind of polygon.
What is the difference between convex polygon and non convex polygon?
A polygon is convex if you can take any two points inside the polygon and connect them with a line segment that is completely contained by the polygon. A non-convex polygon is one which contains at least two points such that the line joining them does not lie entirely inside the polygon.
What is a equiangular convex pentagon?
It is a pentagon with five equal angles - each interior angle = 108 degrees. The term "convex" is redundant since, if the pentagon is equiangular, it cannot have 5 re-entrant corners.
What a polygon with four unequal sides called?
A polygon whose sides are unequal is called an irregular polygon. It may then be further described as being concave or convex.
What is a regular heptagon?
A regular heptagon is a polygon with seven equilateral sides. The shape must also be equiangular and convex.
Can a polygon be equilateral and equiangular but not convex?
No. A non-convex polygon must have at least one reflex angle (between 180 and 360 degrees). But by equiangularity, all the angles of the polygon would have to be reflex. On a plane surface this is not possible.
What is a equilateral polygon?
In geometry, an equilateral polygon is a polygon which has all sides of the same length. For instance, an equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are similar to each other, and have 60 degree internal angles. : Any equilateral quadrilateral is a rhombus, which includes the square. : An equilateral polygon which is cyclic (its vertices are on a circle) is a regular polygon. Not all equilateral polygons are convex: all equilateral polygons with more than four sides, such as the pentagon, can be concave. Viviani's theorem holds for equiangular polygons (and also holds for equilateral ones): : The sum of distances from a point to the side lines of an equiangular [or equilateral] polygon does not depend on the point and is that polygon's invariant.
Which of the following terms apply to the polygon shown below regular concave convex equilateral equiangular?
-- missing-- unseen-- not postedConvexEquiangularRegularEquilateralNone of the ones listed. Try invisible.
What terms apply to the pentagon shown?
convex, equiangular, equilateral, regular. APEX****
What is the classifying of polygon?
There are a number of different, and sometimes overlapping, classifications. Polygons may be convex or concave. In a convex polygon, any two points inside the polygon are joined by a straight line that is wholly inside the polygon. In a concave polygon there are at least two points such that the line joining them intersects its boundary. Polygons can by equilateral (all sides of equal length), or equiangular (all angles of equal measure) or regular (all sides equal AND all angles equal). Note that in general (unlike for triangles) equilateral and equiangular are not the same. Polygons can be classified according to the number of sides/angles.
A polygon whose sides all have the same length is said to be?
A regular polygon.
Are the interior angles in a polygon equal in measure?
Only when the polygon is a regular convex polygon. Such as an equilateral triangle, or a square, or a regular pentagon.
What is a polygon with sides of equal length?
A polygon is any 2-dimensional shape with straight sides. Such a shape with sides of equal length would be called an equilateral polygon. If it is also convex (all the angles face the same way), then it would be called a regular polygon.
Is an equilateral triangle a concave polygon?
An equilateral triangle is NOT concave. The sides only push out, and they never cave in. An equilateral triangle is convex. I hope that helped all who needed.
What are the kinds of dodecagon?
There are many ways of classifying decagons. There are convex or concave dodecagons. Or they can be classified as regular, equiangular-irregular, equilateral-irregular or fully irregular.
What is a convex polygon with all sides congruent and all angles congruent?
A convex polygon with congruent sides and congruent angles is a regular polygon.Some regular pilgrims have specific names: Equilateral triangle and square
