ICSE Class 8 Mathematics Chapter 20 Selina Concise Solutions - Free PDF Download
FAQs on Concise Mathematics Class 8 ICSE Solutions for Chapter 20 - Area of Trapezium and a Polygon
1. What is a Trapezium and what are its properties according to Class 8 ICSE Maths Chapter 20?
A Trapezium is a convex quadrilateral with a minimum of one pair of parallel sides in Euclidean geometry. The trapezoid's parallel sides are known as the bases, while the other two sides are known as the legs or lateral sides (if they are not parallel; otherwise there are two pairs of bases). A scalene Trapezium is a Trapezium that does not have equal sides.
The properties of a Trapezium are the following:
The sum of the Trapezium's four angles, like those of other quadrilaterals, is 360.
A Trapezium is a shape with four uneven sides.
Two parallel sides and two non-parallel sides make up a Trapezium.
Trapezium diagonals divide it into two triangles.
In a Trapezium, the length of the mid-segment is 1/2 the sum of the parallel bases.
A Trapezium has two pairs of adjacent angles that sum up to 180 degrees.
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2. Following the concepts discussed in Class 8 ICSE Maths, Chapter 20, what is a Polygon?
A Polygon is a plane figure characterised by a number of straight-line segments joined together to form a closed Polygonal chain in geometry. A Polygon can be defined as a bounded plane region, abounding circuit, or both.
The edges or sides of a Polygonal circuit are the segments that make up the circuit. The vertices or corners of a Polygon are the spots where two edges meet. A solid Polygon's interior is also referred to as its body. A Polygon with n sides is called an n-gon; for Example, a triangle is a 3-gon.
The definition of a simple Polygon is one that does not cross itself. Mathematicians are frequently solely interested in the bounding Polygonal chains of basic Polygons, and they define a Polygon in this way. Star Polygons and other self-intersecting Polygons can be created when a Polygonal border is allowed to cross over itself.
3. What are the different types of Polygons according to Chapter 20 of Class 8 ICSE Maths?
The Different Types of Polygons are:
Regular Polygon: A regular Polygon is one in which all of the sides and interior angles of the Polygon are the same lengths. A regular Polygon is one that has all of its sides and angles congruent. Plane forms such as squares, rhombuses, and equilateral triangles are Examples of regular Polygons.
Irregular Polygon: An irregular Polygon is one in which all of the sides and interior angles of the Polygon do not measure the same. Rectangles, kites, and scalene triangles are all Examples of irregular Polygons.
Concave Polygon: A concave Polygon is one that has one or more interior angles that are greater than 180 degrees. A concave Polygon must have at least four sides to be considered concave. The vertex will point towards the Polygon's inside.
Convex Polygon: A convex Polygon is one in which all of the internal angles strictly measure less than 180°. From the shape's centre, the vertex points outwards.
4. What are some of the properties of Polygons as discussed in Chapter 20 of ICSE Maths?
Polygons are classified based on their sides, form, angle, and qualities, as previously stated. As a result, we have compiled a list of the most important Polygon attributes that will assist you in quickly determining the different sorts of Polygons.
The sum of an n-sided Polygon's internal angles = (n – 2) 180°.
Each interior angle of an n-sided regular Polygon is measured as = (n–2)180°/n.
Each exterior angle of an n-sided regular Polygon is measured as = 360°/n.
The total number of diagonals in a Polygon with n sides = n(n – 3)/2.
The total number of triangles generated by connecting the diagonals from one of a Polygon's corners = n – 2.
5. How to prepare for ICSE Class 8 Maths, Chapter 20 - Area of Trapezium and Polygon?
To prepare for Class 8, Chapter 20 - Area of Trapezium and Polygon, students should grasp the foundational concepts of area of Trapezium and Polygon thoroughly. It is crucial for the basics to be strong so that students can progress further in the topic. Students should be well-versed with concepts such as Trapezium, properties of Trapezium, area of a Trapezium, Polygon, properties of a Polygon, area of a Polygon, regular Polygon, irregular Polygon, concave Polygon, and convex Polygon to do well in this lesson. You can go to the Vedantu app and website for free study materials.