Class 9th maths chapter 8 exercise 8.1

CBSE Class 9 Maths Solutions Guide Shaalaa provides solutions for CBSE Class 9 Maths Solutions Digest. Shaalaa is undoubtedly a site that most of your classmates are using to perform well in exams. You can solve Class 9 Maths Book Solutions CBSE textbook questions by using Shaalaa.com to verify your answers. This will help you practise better and become more confident. NCERT Solutions for Class 9 Maths Chapterwise List | Class 9 Maths Digest The answers to the NCERT books are the best study material for students. The following links are • • • • • • • • • • • • • • • Appears in • Class 9 students are exposed to a higher curriculum standard that is more towards laying the foundation for higher secondary curriculum. At this stage, students must put in more hard work and dedication towards learning the fundamental concepts well and developing a sound knowledge base. It is wise to keep practising questions from your NCERT Textbook Solutions for Class 9 Maths. Shaalaa.com presents the best study materials for CBSE students. You can review and practice daily to find perfect answers. Always Due to its complications, puzzling sums, and equations, finding the correct reference sums and the easiest possible explanation for Mathematics Solutions can make the equations much more fun. With exams comes the stress of having suitable study material and access to the right books, and with the help of the Class 9 Maths NCERT Solutions Guide, you can ensure that your exams are much simpler an...

Class 9 maths is the stepping stone for upcoming application based mathematics. Thus, great care has to be taken in understanding of the problem. Vedantu’s Class 9 Maths Chapter 8 Solutions assists the students to a great extent. Practising more questions is essential for analytical skill development, which in turn would increase the scores and the time consumed to solve the problems in the examination. This chapter can be a plus point for students if NCERT Solutions for Class 9 Maths Chapter 8 is used with proficiency. To make it easier, free PDF for download is available. Every NCERT Solution is provided to make the study simple and interesting on Vedantu. You can also download NCERT Solution for Class 9 Science to score more marks in the examinations. Important Topics under NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals NCERT Class 9 Maths Chapter 8 syllabus is on Quadrilaterals. It is a very important chapter covered in class 9 and is divided into 2 exercise sections and 5 main topics. The following is a list of the important topics that come under NCERT Class 9 Maths Chapter 8 Quadrilaterals and we recommend that students pay close attention to these topics to reap the benefits of the solutions provided by Vedantu for this chapter. • Introduction to Quadrilaterals • The Angle Sum Property of Quadrilaterals • Types of Quadrilaterals • Properties of Parallelogram • The Mid-point Theorem We recommend that students make full use of the solutions provided by us...

Transcript Theorem 8.1: A diagonal of a parallelogram divides it into two congruent triangles Given: A parallelogram ABCD with AC as its diagonal To prove: ΔABC ≅ ΔADC Proof: Opposite sides of parallelogram is parallel So, AB ∥ DC and AD‖∥ BC In Δ ABC & Δ ADC ∠ BAC = ∠ DCA AC = AC ∠ DAC = ∠ BCA ∴ ΔABC ≅ ΔADC Hence proved Show More

RS Aggarwal Solutions Class 9 Chapter 8 Exercise 8 Triangles are provided here. These solutions are solved by expert teachers in detail to help the students in exam preparation. It is one of the amazing practice books for the students, as it contains relevant questions framed as per your CBSE syllabus and by using it, you can score good marks in your CBSE Class 9 exam. It is often seen students having fear of Maths problems. Thus, we understand the problem, and thus we have created easy to understand solutions to help you ace the exams. RS Aggarwal Class 9 Maths Solutions Chapter 8 Ex 8 Class 9 Rs Aggarwal Solutions Chapter 8 Triangles – All Exercises Below we have listed the links to the solutions of the other exercises present in the chapter. Click on the links to access the solutions of the exercise you for free.

AP State Syllabus AP State Syllabus 9th Class Maths Solutions 8th Lesson Quadrilaterals Exercise 8.1 Question 1. State whether the statements are true or false. i) Every parallelogram is a trapezium. ii) All parallelograms are quadrilaterals. iii) All trapeziums are parallelograms. iv) A square is a rhombus. v) Every rhombus is a square. vi) All parallelograms are rectangles. Solution: i) True ii) True iii) False iv) True v) False vi) False Question 2. Complete the following table by writing YES if the property holds for the particular quadrilateral and NO if property does not holds. Solution: Question 3. ABCD is a trapezium in which AB || CD. If AD = BC, show that ∠A = ∠B and ∠C = ∠D. Solution: Given that in □ABCD AB || CD; AD = BC Mark a point ‘E’ on AB such DC = AE. Join E, C. Now in AECD quadrilateral AE // DC and AE = DC ∴ □AECD is a parallelogram. ∴ AD//EC ∠DAE = ∠CEB (corresponding angles) ……………..(1) In ΔCEB; CE = CB (∵ CE = AD) ∴ ∠CEB = ∠CBE (angles opp. to equal sides) …………….. (2) From (1) & (2) ∠DAE = ∠CBE ⇒ ∠A = ∠B Also ∠D = ∠AEC (∵ Opp. angles of a parallelogram) = ∠ECB + ∠CBE [ ∵ ∠AEC is ext. angle of ΔBCE] | = ∠ECB + ∠CEB [ ∵∠CBE = ∠CEB] = ∠ECB + ∠ECD [∵ ∠ECD = ∠CEB alt. int. angles] = ∠BCD = ∠C ∴ ∠C = ∠D Question 4. The four angles of a quadrilateral are in the ratio of 1 : 2 : 3 : 4. Find the measure of each angle of the quadri-lateral. Solution: Given that, the ratio of angles of a quad-rilateral = 1 : 2 : 3 : 4 Sum of the terms of the ratio = 1 +2 + 3 + 4...

Telangana SCERT Solution Class IX (9) Math Chapter 8 Quadrilaterals Exercise 8.1 (1) (i) Every parallelogram is a trapezium (ii) All parallelograms are quadrilaterals (iii) All trapeziums are parallelograms (iv) A square is a rhombus (v) Every rhombus is a square (vi) All parallelograms are rectangles (i) False, trapezium has only two side’s parallel. (ii) True (iii) False, Parallel has opposite sided parallel (iv) True (v) False, A spare has to have all right angles bat a rhombus. (v) False, a rectangle has to have all angles to be right angles. (2) Complete the following table by writing (YES) if the property holds for the particular Quadrilateral and (NO) if property does not holds. Properties Trapezium Parallelogram Rhombus Rectangle Square a) only one pair of opposite sides are parallel Yes No No No No b) Two pairs of opposite sided are parallel No Yes Yes Yes Yes c) Opposite sides are equal No Yes Yes Yes Yes d) Opposite angles are equal No Yes Yes Yes Yes e) Consecutive angles are supplementary No Yes Yes Yes Yes f) Diagonals bisects each other No Yes Yes Yes Yes g) Diagonals are equal No No No Yes Yes h) All sides are equal No No Yes No Yes i) Each angled is right angles No No No Yes Yes j) Diagonals are ____ to each other. No No Yes No Yes (3) ABCD is trapezium in which AB || CD. If AD = BC, show that ∠ A = ∠ B and ∠ C = ∠ D Solution: Given, ABCD is a trapezium AB ∥ CD, AC = BD Now, Draw two altitudes of trapezium ABCD AP ⊥ CD ⊥ AQ [∵ AB ∥ CD] BQ ⊥ CD ⊥ AB [∵ AB ∥...