NCERT Solutions for Class 9 Maths Chapter 11 Constructions (Ex 11.2) Exercise 11.2

Mathematics is considered an important subject until Class 10, as it is compulsory in CBSE board schools. Students can download the NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 along with solutions to all chapters from the website of Extramarks. The NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 help students to understand the concepts implicit in Constructions better in an easy way. Students can register on the Extramarks learning platform to receive all NCERT solutions in one place. Students should download the NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 to correct their understanding of the syllabus, and this way they can achieve good marks in their examinations. Subjects such as Science, Mathematics, and English will be easier to learn with access to NCERT solutions such as NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2, which are available only on Extramarks.

NCERT Solutions for Class 9 Maths Chapter 11 Constructions (Ex 11.2) Exercise 11.2

The NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 are primarily focused on Constructing Triangles by incorporating the properties described in the previous classes. The NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 provided on Extramarks help students better understand the concept of Triangles.

Learning with the aid of NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 could be considered favourable for CBSE Board students when it comes to examination preparation. Extramarks provides the NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 on their website in PDF format. Students can download NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 at their convenience or study online directly from the website/app.

Extramarks ‘subject matter experts solve NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 accurately and in compliance with the CBSE guidelines. A Class 9 student who has a good understanding of all the concepts in the Constructions can grasp all the solutions to problems from the exercises and achieve excellent results with the assistance of NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2. With the help of NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2, students can easily understand the patterns of questions that may appear on exams pertaining to this chapter. Students can refer to NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 for clearing their recurring doubts and concerns on their own accord.

Access NCERT Solutions For Class 9 Mathematics Chapter 11- Constructions

Students can get access to Extramarkss’ NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 to thoroughly prepare for the Mathematics exam. For a detailed understanding of the core concepts of this chapter, students can download the NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2. Students can get access to NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 curated by mentors of Mathematics of Extramarks. Students can use NCERT Solutions for Class 9 Maths Chapter 11 Exercise 11.2 to revise for the Class 9 examination.

NCERT Solutions for Class 9 Maths Chapter 11 Constructions Exercise 11.2

Students can simply visit the Extramarks educational website, to download versatile reference materials including NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2  in easy-to-read PDF format. Students who want to solve the questions of Exercise 11.2 of Chapter 11 can take the help of NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 available on the Extramarks website.

NCERT Solutions for Class 9

The NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 contain comprehensible and descriptive explanations of complex concepts. The NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 would guide students step-by-step throughout the learning process. After completing the questions given in the NCERT textbook with the aid of NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2, students can easily solve past years’ papers and sample papers. Extramarks provides NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 in PDF format. They can download NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 from Extramarks, curated by expert instructors of Mathematics.

Geometry between the same parallels on the same basis

If two figures have a common base or edge, and the vertices of each figure on the opposite side of the common base lie on a line parallel to that base, then the two figures are located primarily halfway between the same parallel and the same base. This section consists of several examples designed to help students understand this concept clearly. This section is relatively easy to understand as it clearly indicates what students will learn throughout the chapter.

Parallelograms Between Same Base and Same Parallels

Students should go through all the examples and practice the exercises to become familiar with this concept. Students are also encouraged to practice the theorems regularly. Concepts embedded in this topic have been descriptively explained within NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2.

Triangles Between Same Base and Same Parallel

This section is very important. Various examples are included to help students develop a better understanding of triangles with the same base and the same parallel. In this section, students are required to complete various activities to enhance their comprehension of vital concepts. This section also consists of the theorem that two triangles lying between the same base and the same parallel should have the same area. There are four exercises in this chapter. Students can peruse the NCERT solutions to Mathematics Class 9 Chapter 9 for answers to the exercises. Each section contains exercises to help students better understand what they have learned so far.

CBSE Study Materials for Class 9

Students can also download NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2 from the Extramarks Learning App. The best part about Class 9 Maths Exercise 11.2 Solutions is that these solutions can be accessed both online and offline.

CBSE Study Materials

The study materials provided by Extramarks were compiled in collaboration with a highly esteemed panel of experts. These can be downloaded from the website of Extramarks or through the mobile application.

Q.1 Construct a triangle ABC in which BC = 7cm, ∠B = 75° and AB + AC = 13 cm.

Ans

Given:

In triangle ABC, BC = 7 cm, ∠B = 75° and
AB + AC = 13 cm

To construct:

A triangle ABC

Steps of Construction:

(i) Cut a line segment BC = 7cm from a ray BX.

(ii) Draw ray BY at 75° and cut BD = 13 cm from ray BY.

(iii) Join DC and draw perpendicular bisector PQ of DC, which intersect BD at A.

(iv) Join AC.

(v) DABC is required triangle.

Q.2 Construct a triangle ABC in which BC = 8cm, ∠B = 45° and AB – AC = 3.5 cm.

Ans

Given:

In triangle ABC, BC = 8 cm, ∠B = 45° and
AB – AC = 3.5 cm

To construct:

A triangle ABC

Steps of Construction:

(i) Cut a line segment BC = 8 cm from a ray BX.

(ii) Draw ray BY at 45° and cut BD = 3.5 cm from ray BD.

(iii) Join DC and draw perpendicular bisector of DC, which intersect BD at A.

(iv) Join AC.

(v) ΔABC is required triangle.

Q.3 Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR – PQ = 2cm.

Ans

Given: In triangle ABC, BC = 6 cm, ∠B = 60° and PR – PQ = 2 cm

To construct:

A triangle PQR

Steps of Construction:

(i) Cut a line segment QR = 8 cm from a ray QX.

(ii) Draw line l at 45° and cut QS = 2 cm from line l in opposite side of QR.

(iii) Join SR and draw perpendicular bisector AB of SR, which intersect line l at P.

(iv) Join PR.

(v) ΔPQR is required triangle.

Q.4 Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.

Ans

Given: In triangle XYZ, ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.
To construct:

A triangle XYZ

Steps of Construction:

(i) Draw a line segment AB = 8 cm.

(ii) Draw ray AP at 30° and ray BC at 45°.

(iii) Draw angle bisectors of 30° and 45°, which intersect at X.

(iv) Draw perpendicular bisectors of AX and BX intersect AB at Y and Z points respectively.

(v) Join XY and XZ.

(vi) ΔXYZ is required triangle.

Q.5 Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18 cm.

Ans

Given:

In triangle ABC, BC = 12 cm, ∠B = 90° and
AB + AC = 18 cm

To construct:

A triangle ABC

Steps of Construction:

(i) Cut a line segment BC = 12 cm from a ray BX.

(ii) Draw ray BY at 90° and cut BD = 18 cm from ray BY.

(iii) Join DC and draw perpendicular bisector of DC, which intersect BD at A.

(iv) Join AC.

(v) ΔABC is required triangle.

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FAQs (Frequently Asked Questions)

Credible solutions to Maths Class 9 Chapter 11 Exercise 11.2 can be easily found on the Extramarks website which is the most dependable learning platform for accessing trustworthy NCERT solutions. Students will find the Extramarks e-learning platform to be the best learning portal suited to their needs. The Extramarks e-platform consists of concise and well-structured learning materials that are very helpful in preparation. Solutions to all NCERT book questions, including Chapter 9, Class  9 Mathematics, are provided in a precise, step-by-step manner to help students understand the problem-solving process. A remarkable example of the same are NCERT Solutions For Class 9 Maths Chapter 11 Exercise 11.2. These resources will help them to comprehend various concepts. Additionally, Extramarks conducts interactive video lectures on the Extramarks platform. Experienced mentors will encourage students to learn concepts in an engaging and exciting way.

There are several methods students can use to clear their doubts related to the solutions provided by the Extramarks platform. Students can ask their mentor all their doubts in a live class. Additionally, students can also post all their doubts on the Doubts forum and experienced teachers will quickly clarify them. Students can also message their mentor to get their questions answered. Students have enough material to revise their concepts before the examination. There are chapter-by-chapter tests and timely tests that assess levels of preparation and create a competitive environment among peers. Additional summaries, expression snippets, etc. could help students with last-minute revisions.

Students can get the best reference materials for Class 9 Chapter 11 Mathematics on Extramarks. Primarily, it contains all the academic content a Class 9 student will need. These reference books are very helpful for students who want to properly prepare for examinations. The solutions for Chapter 11 are written by subject matter experts and are equipped with comprehensive problem-solving techniques and simple language that students can understand. All learning materials are available on the Extramarks Learning App as well.

To study Chapter 11 of Class 9 CBSE Mathematics, students need to create a suitable schedule for each sub-topic. Practice is the core element. Mathematics is not an entirely theoretical subject and therefore necessitates daily practice and revision. Students can create a separate notebook and write down all important theorems and formulas in one place. To get a PDF of holistic solutions crafted in consideration of the NCERT guidelines, students can download the same from the Extramarks website. To score excellently in the Class 9 Mathematics examination with regard to questions linked to the content in Chapter 11 students must first focus their minds. Students should spend more time on questions that do not seem easy but should repeat practising questions that are easy to solve easily every day.