Rectilinear Figures Class 9 ICSE PDF Download
If you are a student of class 9 ICSE board, you might be looking for a reliable and comprehensive source of information on rectilinear figures, which is one of the important topics in mathematics. Rectilinear figures, also known as quadrilaterals, are two-dimensional shapes that have four straight sides and four angles. In this article, we will tell you what are rectilinear figures, why they are important in class 9 ICSE maths, and how to download rectilinear figures class 9 ICSE PDF from various sources.
rectilinear figures class 9 icse pdf download
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What are Rectilinear Figures?
Definition and examples of rectilinear figures
A rectilinear figure is a polygon that has four sides and four angles. The word "rectilinear" means "consisting of straight lines". A polygon is a closed figure that is made up of three or more line segments. Some examples of rectilinear figures are squares, rectangles, parallelograms, rhombuses, trapeziums, kites, etc.
Types of rectilinear figures or quadrilaterals
There are different types of rectilinear figures or quadrilaterals based on their properties. Some of the common types are:
Square: A square is a quadrilateral that has four equal sides and four right angles. It is also a regular polygon, which means that all its sides and angles are equal.
Rectangle: A rectangle is a quadrilateral that has two pairs of parallel and equal sides and four right angles. It is also a parallelogram, which means that its opposite sides are parallel and equal.
Parallelogram: A parallelogram is a quadrilateral that has two pairs of parallel and equal sides. The opposite angles of a parallelogram are also equal.
Rhombus: A rhombus is a quadrilateral that has four equal sides and two pairs of parallel sides. It is also a parallelogram, but not necessarily a rectangle or a square.
Trapezium: A trapezium is a quadrilateral that has one pair of parallel sides. The parallel sides are called the bases and the non-parallel sides are called the legs.
Kite: A kite is a quadrilateral that has two pairs of adjacent and equal sides. The diagonals of a kite intersect at right angles.
Why are Rectilinear Figures Important in Class 9 ICSE Maths?
Applications of rectilinear figures in geometry and real life
Rectilinear figures are important in class 9 ICSE maths because they have many applications in geometry and real life. Some of the applications are:
Geometry: Rectilinear figures help us to study various concepts such as angles, area, perimeter, symmetry, congruence, similarity, etc. For example, we can use the properties of parallelograms to prove that the opposite angles of a cyclic quadrilateral are supplementary.
Real life: Rectilinear figures are also useful in real life situations such as designing buildings, roads, fields, gardens, etc. For example, we can use the formula for the area of a trapezium to find the area of an irregular plot of land.
Properties and theorems related to rectilinear figures
In class 9 ICSE maths, we also learn about various properties and theorems related to rectilinear figures. Some of the properties and theorems are:
Angle sum property: The sum of the interior angles of any quadrilateral is 360.
Exterior angle property: The exterior angle of any quadrilateral is equal to the sum of the opposite interior angles.
Midpoint theorem: The line segment joining the midpoints of two sides of a triangle is parallel to the third side and half of its length.
Converse of midpoint theorem: If a line segment joining two points on the sides of a triangle is parallel to the third side and half of its length, then it passes through the midpoint of both the sides.
Parallelogram theorem: A quadrilateral is a parallelogram if any one of the following conditions is true: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are equal. - Both pairs of opposite angles are equal. - One pair of opposite sides is parallel and equal. - The diagonals bisect each other.
Rhombus theorem: A parallelogram is a rhombus if any one of the following conditions is true: - All its sides are equal. - Its diagonals are perpendicular to each other. - Each angle is a right angle.
Rectangle theorem: A parallelogram is a rectangle if any one of the following conditions is true: - All its angles are right angles. - Its diagonals are equal and bisect each other.
Square theorem: A parallelogram is a square if any one of the following conditions is true: - All its sides are equal and all its angles are right angles. - Its diagonals are equal, perpendicular, and bisect each other.
Trapezium theorem: The area of a trapezium is equal to half the product of the sum of the parallel sides and the distance between them.
Kite theorem: The area of a kite is equal to half the product of the lengths of its diagonals.
How to Download Rectilinear Figures Class 9 ICSE PDF?
Benefits of using PDF format for studying rectilinear figures
If you want to study rectilinear figures in an easy and convenient way, you might want to download rectilinear figures class 9 ICSE PDF from various sources. PDF stands for Portable Document Format, which is a file format that preserves the layout, fonts, images, and graphics of any document. Some of the benefits of using PDF format for studying rectilinear figures are:
Accessibility: You can access PDF files on any device, such as computers, laptops, tablets, smartphones, etc. You can also print them out if you prefer hard copies.
Compatibility: You can open PDF files with any software that supports PDF, such as Adobe Acrobat Reader, Google Chrome, Microsoft Edge, etc. You don't need to worry about compatibility issues or formatting errors.
Security: You can protect PDF files with passwords, encryption, or digital signatures to prevent unauthorized access or modification. You can also add watermarks or stamps to indicate ownership or authenticity.
Quality: You can maintain the quality and clarity of PDF files regardless of the size or resolution. You can also compress PDF files to reduce their file size without compromising their quality.
Steps to download rectilinear figures class 9 ICSE PDF from various sources
If you want to download rectilinear figures class 9 ICSE PDF from various sources, you can follow these steps:
Search for online sources: You can use any search engine, such as Google or Bing, to search for online sources that offer rectilinear figures class 9 ICSE PDF. Some examples of online sources are: - [ICSE Class 9 Maths Syllabus]: This is the official website of ICSE board that provides the syllabus, sample papers, question papers, and solutions for class 9 maths. You can download rectilinear figures class 9 ICSE PDF from this website by clicking on the "Download" button next to the topic name. - [Selina Concise Mathematics Class 9 ICSE Solutions]: This is a website that provides solutions for Selina Concise Mathematics textbook for class 9 ICSE board. You can download rectilinear figures class 9 ICSE PDF from this website by clicking on the "Download" button below each chapter name - [RS Aggarwal Class 9 Solutions]: This is a website that provides solutions for RS Aggarwal Mathematics textbook for class 9 ICSE board. You can download rectilinear figures class 9 ICSE PDF from this website by clicking on the "Download" button below each chapter name.
Select the source and the file: You can select the source and the file that you want to download based on your preference and requirement. You can compare the quality, content, and size of the PDF files from different sources and choose the one that suits you best.
Download and save the file: You can download and save the file by following the instructions on the website. You might need to enter your email address, phone number, or captcha code to verify your identity and prevent spam. You might also need to agree to the terms and conditions of the website before downloading the file. Once you download the file, you can save it on your device or cloud storage for future reference.
Conclusion
Rectilinear figures are an important topic in class 9 ICSE maths that help us to understand various concepts and applications of geometry. They are also useful in real life situations such as designing and measuring different shapes and structures. If you want to study rectilinear figures in an easy and convenient way, you can download rectilinear figures class 9 ICSE PDF from various online sources. We hope this article has helped you to learn more about rectilinear figures and how to download them in PDF format.
FAQs
What is the difference between a square and a rhombus?
A square is a special type of rhombus that has four right angles. A rhombus is a general type of quadrilateral that has four equal sides but not necessarily four right angles.
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What is the difference between a trapezium and a trapezoid?
A trapezium is a quadrilateral that has one pair of parallel sides. A trapezoid is a quadrilateral that has at least one pair of parallel sides. In some countries, such as the UK, a trapezium and a trapezoid are the same thing. In some countries, such as the US, a trapezium is a quadrilateral that has no parallel sides.
What is the difference between a kite and a rhombus?
A kite is a quadrilateral that has two pairs of adjacent and equal sides. A rhombus is a quadrilateral that has four equal sides. A kite can be a rhombus if its diagonals are perpendicular to each other. A rhombus can be a kite if its angles are equal.
How to find the area of a parallelogram?
The area of a parallelogram is equal to the product of its base and height. The base is any side of the parallelogram and the height is the perpendicular distance from the base to the opposite side.
How to find the perimeter of a rectangle?
The perimeter of a rectangle is equal to twice the sum of its length and width. The length is the longer side of the rectangle and the width is the shorter side. 44f88ac181