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Among plane figures, it is important to distinguish between polygons and non-polygons. A polygon is a closed plane figure that is formed by line segments joined end-to-end . Non-polygons define the set of plane figures which have curved lines or which include unclosed lines.
You must learn two basic formulas of polygons such as: Area of Polygons; Perimeter of Polygons; Area of Polygons. The area is the amount of region covered by a polygon in a two-dimensional plane. The formula of the polygon area depends on the type or shape of the polygon. Units of Area: (meters)2, (centimeters)2, (inches)2, and (feet)2, etc.
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In a convex polygon, the sum of the interior angles of ‘n’ sides is (2n-4) right angles or (2n-4) * 90 degrees.In a regular polygon with n sides (n ≥ 3), then each of its interior angles will be equal to {2n-4}/{n} * 90 degrees.In a regular polygon with n sides, each exterior angle is equal to ({360}/{n})degrees.In a convex polygon, the sum of all exterior angles formed by generating the sides in the same order is equivalent to 4 right angles (or 360 degrees).Example: In a pentagon named MNOPQ, MN is parallel to PO and ∠M:∠P:∠Q = 3:4:5 Find ∠Q. Solution: Let the measure of the angles of the given pentagon be 3x, 4x and 5x Therefore, ∠M + ∠N + ∠O + ∠P + ∠Q. = 540 degree 3x + (∠N + ∠O) + 4x + 5x = 540 degree 12x + 180° = 540° 12x = 360° x = 30° Hence, the measure of angle will be 5 * 30 = 150° Example: Wh...
In geometry, a rectilinear figure can be defined as a simple plain figure or shape all of whose sides meet exactly at right angles. The interior angle available at every vertex of a rectilinear is found to be 90 degrees (90°) or 270 degrees (270°).
Mathematics is an easy subject and to achieve a full score in this subject, you should plan a draft and strategize to first finish the questions you know well and then move on to the unfamiliar questions. Revise well with formulas and work out lots of sample question papers whenever you have time because that will help you to manage time efficientl...
Geometry is one part of mathematics that deals with graphs and diagrams involved in analyzing various problems. At any basic level of education, geometry is found very important for the students to learn because it creates a strong foundation for solving more advanced mathematical learning and learning other problem-solving techniques. It introduce...
Geometry is always a unique subject that is creative rather than theoretical or analytical, and students often have trouble in the transition between Algebra and Geometry. The students are required to use their spatial and logical skills instead of the analytical skills they were accustomed to using in Algebra. However, elementary-level geometry is...
Polygons are most commonly discussed plane shapes apart from circles. In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with at least three sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices (or corners) of a polygon.
- Symmetry refers to the balanced arrangement of elements. Plane shapes can exhibit symmetry, such as line symmetry (mirror image) or rotational symm...
- Plane shapes have various applications in real life, including architecture and design (floor plans, blueprints), art (paintings, sculptures, tesse...
- Congruent shapes are identical in shape and size, while similar shapes have the same shape but can differ in size.
- Plane shapes are two-dimensional and can be considered as the faces of three-dimensional shapes. Three-dimensional shapes are composed of plane sha...
- A polygon is a two-dimensional plane shape with straight sides, while a polyhedron is a three-dimensional solid shape with flat polygonal faces, ed...
- The area of a plane shape refers to the measure of the space enclosed within its boundaries, while the perimeter is the total length of its boundar...
- Two plane shapes are similar if their corresponding angles are equal, and the ratios of their corresponding side lengths are proportional.
- Flat shapes and plane shapes refer to the same concept.Both terms are used interchangeably to describe two-dimensional figures that exist on a flat...
The line segment joining two non-adjacent vertices of a polygon is called a diagonal of the polygon. When all the sides are equal in length, the polygon is said to be a regular polygon. E.g., square. Otherwise, it is an irregular polygon. A triangle is a polygon with a minimum number of sides, which is 3.
Jun 30, 2024 · Curve is a plane figure which is made by joining a number of points without lifting a pencil from paper and without retracing any portion of drawing. Moreover, a curve which does not intersect itself is called open curve and on the other hand, a curve which intersect itself is called closed curve.
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A closed figure has area and perimeter. The following are a few examples. Closed figures can be further categorized into polygonal plane figures and non-polygonal plane figures. Polygonal plane figures. A polygon is a closed plane figure formed only using line segments. The line segments are called sides. A polygon has at least three sides.
