# understanding quadrilaterals class 8 hots questions

Hence the angles are Let the angles of the quadrilateral be 2x°, 3x°, 5x° and 8x°. ⇒ 108 = 3x x + 70° + 80° + 70° = 360° All questions are discussed by the experts of maths teachers and according to the guidelines of NCERT (CBSE). ⇒ 111 – 3 = 3x Three angles of the quadrilaterals are in the ratio 2:3:4. ⇒ y = 37° ⇒ 3y = 9 AB = BC (Sides of a rhombus) Online test | CBSE, Class 8, Mathematics | Understanding Quadrilaterals. © 2007-2019 . OA = OC ⇒ m∠P = m∠R = 70° (Opposite angles) Quadrilaterals Extra Questions Part 3. 5y + 4 = 2y + 13 2. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. x = 13 cm. ⇒ 5y = 180 + 5° ⇒ 18x = 360° Question 7. Class 8 RD Sharma Solutions – Chapter 17 Understanding Shapes Special Types Of Quadrilaterals – Exercise 17.1 | Set 2 Last Updated : 19 Jan, 2021 Question 16. Find the measure … = ∠C + ∠A, Question 17. MCQ Questions for Class 8 Maths: Ch 3 Understanding Quadrilaterals Understanding Quadrilaterals class 8 worksheet. Side of the square = $$\frac { 32 }{ 4 }$$ = 8 cm. ⇒ 2x = 8 Give reason. Learn the concepts of Maths Understanding Quadrilaterals with Videos and Stories. ⇒ 3x – 5x = -1 – 5 Solution: ⇒ AB = √8x = 2√2x ∠ABC = ∠ADC (Opposite angles of a rhombus) In right-angled triangle DAB, The diagonal of a rectangle is thrice its smaller side. ⇒ ∠DOC = 90° (Diagonals of a rhombus bisect each other at 90°) ⇒ 5y – 5 = 180° Solution: According to NCERT Solutions for Class 8 Maths Chapter 3, a quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1: 2: 3: 4. 3 × 20 = 60°, Find x. ⇒ x + 220° = 360° (i) True, Question 16. (h) False Join AC, then ∠A = ∠C [Opposite angles of a parallelogram] ⇒ ∠z = 180° – 69° = 111° Question 1. (ii) Is SR … So, ∆AMD = ∆CNB (AAS), RD Sharma Class 11 Solutions Free PDF Download, NCERT Solutions for Class 12 Computer Science (Python), NCERT Solutions for Class 12 Computer Science (C++), NCERT Solutions for Class 12 Business Studies, NCERT Solutions for Class 12 Micro Economics, NCERT Solutions for Class 12 Macro Economics, NCERT Solutions for Class 12 Entrepreneurship, NCERT Solutions for Class 12 Political Science, NCERT Solutions for Class 11 Computer Science (Python), NCERT Solutions for Class 11 Business Studies, NCERT Solutions for Class 11 Entrepreneurship, NCERT Solutions for Class 11 Political Science, NCERT Solutions for Class 11 Indian Economic Development, NCERT Solutions for Class 10 Social Science, NCERT Solutions For Class 10 Hindi Sanchayan, NCERT Solutions For Class 10 Hindi Sparsh, NCERT Solutions For Class 10 Hindi Kshitiz, NCERT Solutions For Class 10 Hindi Kritika, NCERT Solutions for Class 10 Foundation of Information Technology, NCERT Solutions for Class 9 Social Science, NCERT Solutions for Class 9 Foundation of IT, PS Verma and VK Agarwal Biology Class 9 Solutions, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, Periodic Classification of Elements Class 10, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, CBSE Previous Year Question Papers Class 12, CBSE Previous Year Question Papers Class 10. ∠ODC = $$\frac { 1 }{ 2 }$$ × ∠ADC (Diagonal of rhombus bisects the respective angles) Hence, x = 13 cm, y = 12 cm and z = 5 cm. Solution: The first things that we tend to understand about objects that we see are colour and shape. ⇒ x + 10 + 3x + 5 + 2x + 15 = 180 Solution: Free PDF download of Important Questions with solutions for CBSE Class 8 Maths Chapter 3 - Understanding Quadrilaterals prepared by expert Mathematics teachers from latest edition of CBSE(NCERT) books. (d) True Class 8 students definitely take this Test: Understanding Quadrilaterals- 1 exercise for a better result in the exam. Then m∠P + m∠Q = 180° In the given figure ABCD, find the value of x. NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12, Extra Questions for Class 8 Maths Chapter 3 Understanding Quadrilaterals, Question 1. 3x + 5 = 5x – 1 (i) Is PS = RQ? In the given figure, find x. (i) In a parallelogram, the opposite sides are equal. Solution: ⇒ AB2 = 9x2 – x2 Our aim is to help students learn subjects like Understand quadrilaterals and learn more about their properties, definition and different types by visiting Byju's. In triangles AMD and CNB, ⇒ 6x = 150 Similarly, OB = OD The students should practice Chapter 8 Quadrilaterals HOTs Questions to increase perfection which will help him to get good marks in CBSE examination. Now, sum of exterior angles of a polygon is 360°, therefore, x + 60° + 90° + 90° + 40° = 360° If AM and CN are perpendiculars on the diagonal BD of a parallelogram ABCD, Is ∆AMD = ∆CNB? Answer. ⇒ ∠z + 69° = 180° In the given figure PR is a diagonal of the parallelogram PQRS. 2 × 20 = 40°, Solution: (e) A trapezium is a parallelogram. The angles of a quadrilateral are in the ratio of 2 : 3 : 5 : 8. Register online for Maths tuition on Vedantu.com to score more marks in your examination. In many instances, we understand the function of certain objects by seeing their shapes. ⇒ 3x – 5x = -1 – 5. Sum of all the exterior angles of a polygon = 360° AD = BC (opposite sides of parallelogram) You can use above books for extra knowledge and practicing different questions. Sample Questions. ⇒ AB2 = 8x2 Class 8 important questions for chapter 14 factorization provided here cover various short answer type questions, long answer type questions and HOTS questions. What is the measure of the four … These CBSE NCERT Class 8 Understanding Quadrilaterals workbooks and question banks have been made by teachers of StudiesToday for benefit of Class 8 students. Given below are the links of some of the reference books for class 8 Math. The measures of two adjacent angles of a parallelogram are in the ratio 4: 5. The opposite sides of a parallelogram are of _____ length. (h) Triangle is possible with angles 60°, 80° and 100°. and m∠S = 110°. Find x in the following figure. Free PDF download of Important Questions with solutions for CBSE Class 9 Maths Chapter 8 - Quadrilaterals prepared by expert Mathematics teachers from latest edition of CBSE(NCERT) books. Now perimeter of the square = Perimeter of rectangle = 32 cm. Quadrilaterals ,Understanding Quadrilaterals - Get topics notes, Online test, Video lectures, Doubts and Solutions for CBSE Class 8 on TopperLearning. (b) Diagonals of rectangles are equal. This online practice test for Class 8, Mathematics is as per the CBSE board syllabus and contains sample questions which are based on the exam pattern. Question 1. Then m∠S = 110° (Opposite angles are equal) Solution: x + 8 = 16 – x x + y + z = 360°, Question 3. ∠ADM = ∠NBC (AD || BC and BD is transversal.) Solution: Question 4. Solution: Check the below NCERT MCQ Questions for Class 8 Maths Chapter 3 Understanding Quadrilaterals with Answers Pdf free download. Measure of an interior angle of a regular polygon. Question 9. (d) Sum of the interior angles of a triangle is 180°. Solution: ... 4. In the given figure, ABCD is a rhombus. ⇒ x = 3, Question 2. ⇒ x = 360° – 220° = 140°, Question 8. (b) True In the parallelogram given alongside if m∠Q = 110°, find all the other angles. Here you can get Class 8 Important Questions Maths based on NCERT Text book for Class VIII. Download Printable Worksheets, test papers for Class 8 Understanding Quadrilaterals with questions answers for all topics and chapters as per CBSE, NCERT, KVS... More.. HOTS Questions , Class 8, Math, CBSE-Understanding Quadrilaterals. (a) False (f) True Perimeter of the rectangle = 2 [length + breadth] Hence, x = 36° and y – 37°. State whether True or False. The questions given in the worksheets are framed in a manner which will help to revise the entire syllabus, concepts and also develop analytical and problem solving skills in students. Solution: AB = DC [Opposite sides of a parallelogram] 3x + 5 = 5x – 1. diagonal BD = 3x cm x = 4 Find x, y and z. Question 12. 3y + 2y – 5 = 180° Find the ratio of its sides. z = 5 and y = 12 ⇒ 3 × 37 = 3x + 3 ABCD is a rhombus with ∠ABC = 126°, find the measure of ∠ACD. a) Will help you to revise all important concepts prior to the school exams of Class 8 in a timely manner. ⇒ ∠OCD = 180° – 153° = 27° ⇒ 6x = 180 – 30 b) ∠A = ∠C. (NCERT Exemplar) Students can easily download the free PDF available of NCERT Solutions for Class 8 Maths chapter 3 understanding quadrilaterals from the website. (x + 10)° + (3x + 5)° + (2x + 15)° = 180° ⇒ x + x = 16 – 8 ⇒ x = 80°. ⇒ m∠P + 110° = 180° Question 2. 3y = 3x + 3 The angles of a quadrilateral are in the ratio of 1 : 2 : 3 : 4. The sides AB and CD of a quadrilateral ABCD are extended to points P and Q respectively. All right reserved. x = 55° We know that the sum of all the exterior angles of a polygon = 360° Hence the angles x = 55°, y = 69° and z = 111°, Question 11. Is ∠ADQ + ∠CBP = ∠A + ∠C? ⇒ -2x = -6. (b) All rhombuses are … AB = DC [Opposite sides of a parallelogram] Register online for Maths tuition on Vedantu.com to score more marks in … CBSE Chapter 3 Understanding Quadrilaterals HOTs Questions for Class 8 PDF In simple words, CBSE Class 8 HOTs Questions are the skills that involve learning that goes beyond mere comprehension. The above Practice worksheets for Class 8 Understanding Quadrilaterals have been designed as per latest NCERT CBSE and KVS guidelines and 2021 syllabus. 5 × 20 = 100° Solution: Since, the diagonals of a parallelogram bisect each other. Since ∠P and ∠Q are supplementary. In the given figure, ABCD is a parallelogram. Hence, the length of the side of square = 8 cm. PLEASE READ MY DISCLOSURE FOR MORE INFO. Properties of Parallelograms ,Understanding Quadrilaterals - Get topics notes, Online test, Video lectures, Doubts and Solutions for CBSE Class 8 on TopperLearning. Find the values of x, y and z. Now ∠A = ∠C [Opposite angles of a parallelogram] Higher Order Thinking Skills (HOTs) as the name suggests refers to thinking skills that correspond to the more complicated forms of learning within the cognitive domain. ⇒ m∠P = 180° – 110° = 70° 1. ⇒ x2 + AB2 = 9x2 b) Short notes for each chapter given in the latest Class 8 books for Understanding Quadrilaterals will help you to learn and redo all main concepts just at the door of the exam hall. CBSE releases Chapter 8 Quadrilaterals HOTs Questions for Class 9 every year. Hence m∠P = 70, m∠R = 70° All material given in this website is a property of physicscatalyst.com and is for your personal and non-commercial use only, Vertical line test for functions and relation, Trigonometry Formulas for class 11 (PDF download), Important Questions for Understanding Quadrilaterals Class 8 maths, Understanding Quadrilaterals Class 8 Important Questions, NCERT Solution Understanding Quadrilaterals Class 8 Exercise 3.1, NCERT Solution Understanding Quadrilaterals Class 8 Exercise 3.2, NCERT Solution Understanding Quadrilaterals Class 8 Exercise 3.3, Mathematics Foundation Course for JEE/Olympiad : Class 8, Pearson Foundation Series (IIT -JEE / NEET) Physics, Chemistry, Maths & Biology for Class 8 (Main Books) | PCMB Combo. Worksheets are very critical for every student to practice his/ her concepts. Find x. Find the measure of each angle of the quadrilateral. ∠z + ∠y = 180° (Adjacent angles) In the given parallelogram ABCD, find the value of x andy. Solution: Maths Class 8 Important Questions are very helpful to score high marks in board exams. Let AD = x cm (NCERT Exemplar) In the given figure find x + y + z. (g) Diagonals of a rectangle are perpendicular to each other. (g) False Find the measure of each angle. Question 1. These papers are published prior to the examinations so that students can do the study. ∠CBP = ∠BCA + ∠BAC and ∠ADQ = ∠ACD + ∠DAC (Exterior angles of triangles) The above NCERT CBSE and KVS worksheets for Class 8 Understanding Quadrilaterals will help you to improve marks by clearing Understanding Quadrilaterals concepts and also improve problem solving skills. Question 1: Find the angle y. Hence, x = 4 and y = 3, Question 15. These factorization questions will help CBSE students to be well-prepared for class 8 exam. ⇒ x + 280° = 360° The … x2 + AB2 = (3x)2 Question 5. Required ratio of AB : AD = 2√2x : x = 2√2 : 1, Question 18. ⇒ ∠OCD + 63° + 90° = 180° Question 13. ∠OCD + ∠ODC + ∠DOC = 180° (Angle sum property) ⇒ -2x = -6 Understanding Quadrilaterals Class 8 Extra Questions Very Short Answer Type. If ∠A and ∠C are two opposite angles of a parallelogram, then: a) ∠A > ∠C. In the given figure, ABCD is a parallelogram. Thus, it is important to understand elementary shapes. ... CBSE Important Questions for class 8 Social Science; ... Understanding Quadrilaterals Class 8 Notes- Chapter 3. ⇒ y = 3 Hence ∠OCD or ∠ACD = 27°, Question 14. Understanding Quadrilaterals Important Questions. (c) False Answer: We know that angle sum of a quadrilateral = 360⁰ So, 85° + 95° + 100° + y = 360° Or, 280° + y = 360° Or, `y = 360°- … (a) Diagonals of a rhombus are equal. ∠A + ∠B + ∠C = 180° [Angle sum property] ∠A + ∠B = 180° Why? (c) Kite is a parallelogram. (e) False ⇒ x = 20° ⇒ 5y = 185° ∠AMB = ∠CNB = 90° and 8 × 20 = 160°. 2x + 3x + 5x + 8x = 360° Explore numerous MCQ Questions of Understanding Quadrilaterals Class 8 with answers provided with detailed solutions by looking below. (a) not equal (b) different (c) equal (d) none of these. Let's study the topics in this section. Solution: ⇒ ∠ODC = $$\frac { 1 }{ 2 }$$ × 126° = 63° Solution: Tags: Sum of all interior angles of a quadrilateral = 360° Question 6. ⇒ 125° + ∠D = 180° ⇒ ∠D = 180° – 125° ⇒ 125° = y + 56° ⇒ x = 36° We have provided Understanding Quadrilaterals Class 8 Maths MCQs Questions with Answers to help students understand the … ⇒ 111 = 3x + 3 Solution: Since the diagonals of a rhombus bisect each other ⇒ y = 69° If the wire is bent into a square, find the length of its side. Answer: (c) equal The sum of the least and the greatest of these three angles is equal to 180°. ⇒ ∠OCD + 153° = 180° ∠1 = 90° Find the values of x and y in the following parallelogram. ⇒ 6x + 30 = 180 Find the measure of an interior angle of a regular polygon of 9 sides. ∠A + ∠D = 180° (Adjacent angles) In ΔOCD, The sum of the interior angles of a regular polygon is twice the sum of the exterior angles. Given m∠Q = 110° Benefits of Notes for Class 8 Understanding Quadrilaterals. c) ∠A … HOTS. ML Aggarwal Solutions for Class 8 Maths Chapter 13 Understanding Quadrilaterals Our expert tutors formulate these exercises to assist you with your exam preparation to attain good marks in Maths. Here we have covered Important Questions on Understanding Quadrilaterals and Practical Geometry for Class 8 Maths subject. DISCLOSURE: THIS PAGE MAY CONTAIN AFFILIATE LINKS, MEANING I GET A COMMISSION IF YOU DECIDE TO MAKE A PURCHASE THROUGH MY LINKS, AT NO COST TO YOU. physics, maths and science for students in school , college and those preparing for competitive exams. AD2 + AB2 = BD2 (Using Pythagoras Theorem) Write true and false against each of the given statements. CBSE Class 8 Mathematics Worksheet - Understanding Quadrilaterals (3) Worksheets have become an integral part of the education system. Therefore, (NCERT Exemplar) ∠ADC = 126° ∠CBP + ∠ADQ = ∠BCA + ∠BAC + ∠ACD + ∠DAC Solution: (f) Sum of all the exterior angles of a polygon is 360°. = 2[9 + 7] = 2 × 16 = 32 cm. Understanding Quadrilaterals. Give reason. (8 Marks) (a) All rectangles are squares. Solution: Question 10. In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1: 2: 3: 4. ⇒ x = 25. Solution: You can find other Test: Understanding Quadrilaterals- 1 extra questions, long questions & short questions for Class 8 on EduRev as well by searching above. Quadrilaterals: If A, B, C and D are co-planer, such that 1. no three of them are collinear and 2. the line segments AB, BC, CD and DA do not intersect except at their end-points, then the figure made up of the 4 line segments is called the quadrilateral. Get NCERT Solutions of Chapter 3 Class 8 Understanding Quadrilaterals free at teachoo. This particular test covers the chapter: Understanding Quadrilaterals Find the number of sides of the polygon. = (∠BCA + ∠ACD) + (∠BAC + ∠DAC) Answers to all exercise questions and examples have been solved, with concepts of the chapter explained.In this chapter, we will learnWhat arecurves, open curves, closed curves, simple curvesWhat arepolygons, Diff Thanks for visiting our website. Length and breadth of a rectangular wire are 9 cm and 7 cm respectively. 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Of Chapter 3 Class 8 exam uncharacterized shapes understanding quadrilaterals class 8 hots questions we have covered Important Questions on Understanding Quadrilaterals at. And the greatest of these three angles is equal to 180° opposite angles of a parallelogram are in ratio.