NCERT solution Class 9 quadrilaterals

NCERT Solutions

Class 9 Maths

Quadrilaterals

NCERT Questions

Ex.8.1 Q.1
Ex.8.1 Q.2
Ex.8.1 Q.3
Ex.8.1 Q.4
Ex.8.1 Q.5
Ex.8.1 Q.6
Ex.8.1 Q.7
Ex.8.1 Q.8
Ex.8.1 Q.9
Ex.8.1 Q.10
Ex.8.1 Q.11
Ex.8.1 Q.12
Ex.8.2 Q.1
Ex.8.2 Q.2
Ex.8.2 Q.3
Ex.8.2 Q.4
Ex.8.2 Q.5
Ex.8.2 Q.6
Ex.8.2 Q.7

Ex.8.1 Q.11

In ∆ABC and ∆DEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see the given figure). Show that:

(1) Quadrilateral ABED is a parallelogram.

(2) Quadrilateral BEFC is a parallelogram.

(3) AD || CF and AD = CF

(4) Quadrilateral ACFD is a parallelogram.

(5) AC = DF

(6) ∆ABC ≅ ∆DEF.

(1) It is given that AB = DE and AB || DE.

If two opposite sides of a quadrilateral are equal and parallel to each other, then it will be a parallelogram.

Therefore, quadrilateral ABED is a parallelogram.

(2) Again, BC = EF and BC || EF

Therefore, quadrilateral BCEF is a parallelogram.

(3) As we had observed that ABED and BEFC are parallelograms, therefore AD = BE and AD || BE

(Opposite sides of a parallelogram are equal and parallel)

And, BE = CF and BE || CF

(Opposite sides of a parallelogram are equal and parallel)

So, AD = CF and AD || CF

(4) As we had observed that one pair of opposite sides (AD and CF) of quadrilateral ACFD are equal and parallel to each other, therefore, it is a parallelogram.

(5) As ACFD is a parallelogram, therefore, the pair of opposite sides will be equal and parallel to each other.

AC || DF and AC = DF

(6) ∆ABC and ∆DEF,

AB = DE

(Given)

BC = EF

(Given)

AC = DF

(ACFD is a parallelogram)

∆ABC ≅ ∆DEF

(By SSS congruence rule)

Video solution:

Quadrilaterals Class 9 Maths NCERT Chapter 8 NCERT Solutions

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Using the NCERT solutions module effectively can significantly enhance your learning experience and understanding of the subject matter. Here's a step-by-step guide on how to make the most out of the NCERT solutions:

Attempt to Solve Yourself: Before looking at the solution, try to solve or answer the question independently. This practice will help you test your knowledge and problem-solving skills.
Match with Our Solution: After attempting the question, compare your result and approach with the provided NCERT solution. This step allows you to identify any mistakes or gaps in your understanding.
Refer to Solution Video (if needed): If you encounter difficulty or are unable to solve a question, you can refer to the NCERT solution video on Quadrilaterals Class 9 Maths NCERT Chapter 8 to get a step-by-step explanation of the correct approach. Pay attention to the reasoning and methodology used in the video.
Solve Again Yourself: Once you've understood the solution, attempt to solve the question again by yourself. Repetition and practice solidify your understanding of the concepts and improve retention.
Avoid Memorization: Focus on understanding the underlying principles and concepts behind each solution. Avoid simply memorizing the solutions, as this may hinder your ability to apply the knowledge in different contexts.
Attempt All Questions: Make an effort to attempt all the questions provided in the NCERT textbook. This comprehensive practice will help you cover the entire syllabus and reinforce your understanding across various topics. You may refer Class 9 Maths Quadrilaterals Online Test on LearnoHub.com.
Review and Revise: Regularly review the concepts and solutions you've learned. Revise your notes and practice regularly to retain the knowledge effectively. You may refer Quadrilaterals Class 9 Maths Notes.
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By following these steps and actively engaging with the NCERT solutions module of Class 9 Maths Quadrilaterals NCERT Chapter 8, you can improve your learning outcomes, develop a better grasp of the subject, and perform well in exams and other academic assessments. Remember that consistent practice, understanding, and application of knowledge are key to academic success.

NCERT solutions of Quadrilaterals Class 9 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 9 Maths Quadrilaterals NCERT solutions.