What does equiangular polygons mean?

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Question by: Primo Damico | Last updated: October 26, 2021

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This entry on the subject of geometry is just an outline.

In geometry, an equiangular polygon is a polygon whose angles at the vertices are equal, that is, of the same width.

Which polygon and equiangle?

A POLYGON whose CORNERS all have the SAME WIDTH is called EQUIANGLE. The polygon we have drawn on the side has all three sides equal. A POLYGON whose SIDES all have the SAME LENGTH is called EQUILATERAL.

What does Equiangle polygon mean?

– In geometry, a polygon having equal angles: a triangle and. it is also equilateral.

What are Equilateral and Equiangular Polygons?

equilateral polygons: all sides are equal; equiangular polygons: all angles are equal; regular polygons: all sides and angles are equal.

How are polygons defined which are equilateral Equiangles and which have as many axes of symmetry as there are sides?

A regular polygon is a convex polygon which is both equilateral (ie has all sides congruent to each other) and equiangular (ie has all angles congruent to each other).

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Which polygon has only one axis of symmetry?

Nobody! Among the trapezoids, only the isosceles trapezoid has an axis of symmetry: we cannot in any way find an axis that divides the other trapezoids into two perfectly overlapping parts. The rhombus has two axes of symmetry, as does the rectangle.

Which polygon has 4 axes of symmetry?

SQUARE: HAS 4 AXES OF SYMMETRY, TWO LIKE THE RHOMBUS AND TWO OTHER PERPENDICULARS AND THROUGH THE MIDDLE POINT OF THE SIDES.

What are the Equiangles?

In geometry, an equiangular polygon is a polygon whose angles at the vertices are equal, that is, of the same width.

When do we say that a polygon is equilateral?

In geometry, an equilateral polygon is a polygon having all congruent sides, ie of the same length; usually we tend to confuse the concept of equilateral polygon with that of regular polygon, which in addition also has the characteristic of equiangularity, when instead the two characteristics do not …

What are polygons?

A polygon is a figure bounded by a closed broken line. In a polygon we recognize different elements: the sides, are all the segments that make up the broken line; … the internal angles are the part of the plane bounded by two sides of a polygon.

What are congruent sides?

In geometry, two figures are said to be congruent (from the Latin congruens: concordant, appropriate), when they have the same shape and size, therefore when they are perfectly superimposable.

What are non-polygon figures?

A non-polygon is a flat figure bounded by a curved line or a mixed line; the curved line or the mixed line that delimits the non-polygon must be a closed line. Two of the most famous non-polygons are the circle and the ellipse; in this regard you can read the page: is the circle a polygon?

Why is the rectangle Equiangle?

Since the corners of the rectangle all have the same width, it is an EQUIANGLE POLYGON. … The two triangles are two TRIANGLES RECTANGLES since by definition the rectangle has all angles of 90 °. Since the RECTANGLE is a parallelogram, like all parallelograms, its OPPOSITE SIDES are CONGRUENT.

What kind of polygon is the rhombus?

The rhombus or lozenge is a polygon of four sides, all of the same length (congruent). The angles of the rhombus are usually not congruent; its diagonals also usually have different lengths, and are called the major diagonal and the minor diagonal.

What are regular and irregular polygons?

regular: when all its sides and all its angles are equal, that is, if equilateral and equiangular (eg. … irregular: if it is not regular. Examples of irregular polygons are the generic rhombus (the sides are equal, the angles are not ), the generic rectangle (the angles are the same, the sides are not) and the trapezoid.

When is a polygon said to be convex?

A convex polygon is defined as a simple polygon that does not contain any extension of its sides. In other words, convex polygons are simple polygons where each inner corner is a convex corner.

What does equilateral mean?

of aequus «equal» and latus -tĕris «side»]. – Which has equal sides to each other; above all said of a triangle having the three sides (and therefore also the three internal angles) equal to each other.

When do we say that a polygon is concave?

concave polygon non-convex polygon, ie such that there is a pair of distinct points for which the segment that has them as extremes is not all contained in the polygon itself. A concave polygon must have at least four sides and at least one of its angles is greater than a flat angle (→ polygon).

Which quadrilaterals are equilateral?

Answer: The equilateral quadrilateral is rhombus.

What are concave and convex polygons?

A polygon is said to be concave if the extension of one of its sides divides it into two parts, while it is said to be convex if this does not happen for either side.

How many axes of symmetry can be traced in a rhombus?

The axes of symmetry of the rhombus are the lines that pass through the two pairs of opposite vertices, and they are two in all. In particular, the axes of symmetry of the rhombus are the straight lines to which the diagonals of the rhombus belong.

Which figures have the axes of symmetry?

Notable examples of symmetry axes of plane figures are:

  • all straight lines passing through the center of a circle;
  • the line on which the height relative to the base of an isosceles triangle lies;
  • the line that passes through the midpoints of major base and minor base of an isosceles trapezoid;

Why does the parallelogram have no axes of symmetry?

A parallelogram is a quadrilateral whose sides are two by two parallels. … The point O where the diagonals intersect coincides with the center of symmetry of the parallelogram. In general, a parallelogram does not have axes of symmetry, it cannot be inscribed and it cannot be circumscribed to a circumference.

How many are the symmetry axes of the rectangle?

There are two axes of symmetry of the rectangle, one vertical and one horizontal: the axis of vertical symmetry is the straight line passing through the midpoint of the base and parallel to the heights; the axis of horizontal symmetry is the straight line passing through the midpoint of one of the two heights and parallel to the base.

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