Table of Contents
What is the most accurate description of a polygon?
In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape with straight sides. It does not have curved sides.
Which is a correct description of the polygon quizlet?
A polygon is a closed figure whose sides are straight line segments. A regular polygon has sides of equal length and interior angles of equal measure. The perimeter of a polygon is the distance around the polygon, or the sum of the lengths of the sides. You just studied 25 terms!.
How do you describe a polygon?
A polygon is any shape made up of straight lines that can be drawn on a flat surface, like a piece of paper. Such shapes include squares, rectangles, triangles and pentagons but not circles or any other shape that includes a curve.
Which statements are true about all polygons?
All sides and all angles in a polygon are congruent. The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint. In a polygon, all segments with a common endpoint are collinear.
What is the correct description of the polygon is a concave?
A Concave polygon is a polygon that has at least one interior angle greater than 180 degrees. It must have at least four sides. The shape of the concave polygon is usually irregular.
What’s true about a regular polygon?
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex or star.
What type of polygon is shown convex?
A convex polygon is defined as a polygon with all its interior angles less than 180°. This means that all the vertices of the polygon will point outwards, away from the interior of the shape. Think of it as a ‘bulging’ polygon. Note that a triangle (3-gon) is always convex.
What does a right isosceles triangle look like?
An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent. Since it is a right triangle, the angle between the two legs would be 90 degrees, and the legs would obviously be perpendicular to each other.
What is the difference between an equilateral triangle and an isosceles triangle?
In an equilateral triangle, all three sides are the same length. An equilateral triangle is always equiangular (see below). In an isosceles triangle, two sides are the same length. An isosceles triangle may be right, obtuse, or acute (see below).
What type of polygon is a triangle?
Types of Polygon With Sides 3 to 20 Name of the Polygons Sides Angle Triangle (also called Trigon) 3 60° Quadrilateral (also called Tetragon) 4 90° Pentagon 5 108° Hexagon 6 120°.
Is equilateral a right triangle?
Explanation: In an equilateral triangle, all the sides are equal. Since all the sides are equal then the angles must be equal too. So we can’t have an Right angled equilateral triangle.
How many angles are less than a right angle in the triangle shown at the right?
3 angles are less than a right angle 1 right angle.
Are the triangles below acute obtuse or right?
Acute, Obtuse, and Right Triangles right angles (exactly 90°) obtuse angles (more than 90°, less than 180°) acute angles (less than 90°) Right triangles have exactly one right angle. Obtuse triangles have exactly one obtuse angle. Acute triangles have three acute angles. In other words, ALL the angles are acute.
What is polygon shape definition?
A polygon is a closed shape with straight sides. Rectangles, triangles, hexagons, and octagons are all examples of polygons. The word polygon comes from the Greeks, like most terms in geometry, which they invented. A polygon can’t have any curves or any gaps or openings in its shape.
What are polygons explain different of polygons?
A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. The name tells you how many sides the shape has. For example, a triangle has three sides, and a quadrilateral has four sides. This is what makes a polygon.
Which is the polygon with minimum number of sides?
Polygon defined as a closed plane figure, having three or more straight sides. So, the minimum number of the side in a polygon is three. So, a polygon with a minimum number of sides is called triangle.
Do all regular polygons have point symmetry explain?
No! Only regular polygons with an even number of vertices will . have point symmetry.
What is the area of regular polygon?
Once you have mastered these new definitions, the formula for the area of a regular polygon is an easy one. The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.
Which of the following describes a non convex or concave polygon?
If one or more of the interior angles is more than 180 degrees the polygon is non-convex (or concave).
What type of polygon must have a diagonal such that at least part of the diagonal falls in the exterior of the polygon?
Properties of a Concave Polygon Some of the diagonals of a concave polygon will lie outside the polygon. In the figure on the right, the diagonal at the top of the polygon is outside the polygon’s interior space.
How do you know if a polygon is concave or 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.
Which of the following best describes a regular polygon?
A polygon having equal sides and equal angles is a regular polygon.
What is the minimum interior angle possible for a regular polygon?
(a) The minimum interior angle possible for a regular polygon is 60°.
What are two regular polygon characteristics?
A regular polygon has: Two dimensions. Straight sides. Congruent (equal-length) sides. An interior and exterior. Equal interior angles. Equal exterior angles.
Are convex polygons always regular?
A polygon that is regular is both equilateral AND equiangular. A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon. In a convex polygon, each interior angle measures less than 180 degrees. A triangle is always convex, and regular polygons are always convex.
Which type of polygon is shown convex Heptagon?
Heptagon Regular heptagon Symmetry group Dihedral (D 7 ), order 2×7 Internal angle (degrees) ≈128.571° Dual polygon Self Properties Convex, cyclic, equilateral, isogonal, isotoxal.
What does an equilateral right triangle look like?
Identifying equilateral triangles An equilateral triangle has three equal sides and three equal angles (which are each 60°). You don’t often hear the expression equiangular triangle, however, because the only triangle that’s equiangular is the equilateral triangle, and everyone calls this triangle equilateral.
What is a right scalene triangle?
A right scalene triangle is a triangle in which all three sides are different in measurements with one angle as 90 degrees.
What is a right triangle with two equal sides?
An isosceles right triangle is an isosceles triangle and a right triangle. This means that it has two congruent sides and one right angle.
