Class 8 maths chapter 3 exercise 3.3 solutions

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Exercise 3.3 which can be useful during the preparation of examination. Class 8 Maths NCERT Solutions is very helpful in encouraging students to learn new topics. You can complete your homework by taking help from these NCERT Solutions.

NCERT Solutions for Class 8 Maths Chapter 3 - Understanding Quadrilaterals Exercise 3.4 The solutions to all the questions in the Class 8 Maths NCERT textbook are present in the NCERT Solutions for Class 8 Maths. The subject experts at BYJU’S have solved each question of NCERT exercises carefully to help the students to solve any question from the NCERT textbook. NCERT Class 8 Exercise 3.4 is based on the different types of quadrilaterals. Students can download the Download PDF carouselExampleControls111 Previous Next  Access Other Exercise Solutions of Class 8 Maths Chapter 3 – Understanding Quadrilaterals Access Answers to Maths NCERT Class 8 Chapter 3 – Understanding Quadrilaterals Exercise 3.4 Page Number 55 1. State whether True or False. (a) All rectangles are squares. (b) All rhombuses are parallelograms. (c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are trapeziums. (h) All squares are trapeziums. Solution: (a) False Because all squares are rectangles, but all rectangles are not squares. (b) True (c) True (d) False Because all squares are parallelograms, as opposite sides are parallel and opposite angles are equal. (e) False Because, for example, the length of the sides of a kite is not the same length. (f) True (g) True (h) True 2. Identify all the quadrilaterals that have  (a) four sides of equal length. (b) four right angles. Solut...

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals are provided below. Our solutions covered each questions of the chapter and explains every concept with a clarified explanation. To score good marks in Class 8 Mathematics examination, it is advised to solve questions provided at the end of each chapter in the NCERT book.

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals • • • • • NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Exercise 3.1 Ex 3.1 Class 8 Maths Question 1. Given here are some figures. Classify each of the above figure on the basis of the following: (a) Simple curve (b) Simple closed curve (c) Polygon (d) Convex polygon (e) Concave polygon Solution: (a) Simple curve: (1), (2), (5), (6) and (7) (b) Simple closed curve: (1), (2), (5), (6) and (7) (c) Polygon: (1) and (2) (d) Convex polygon: (2) (e) Concave polygon: (1) Ex 3.1 Class 8 Maths Question 2. How many diagonals does each of the following have? (a) A convex quadrilateral (b) A regular hexagon (c) A triangle Solution: (a) In Fig. (i) ABCD is a convex quadrilateral which has two diagonals AC and BD. (b) In Fig. (ii) ABCDEF is a regular hexagon which has nine diagonals AE, AD, AC, BF, BE, BD, CF, CE and DF. (c) In Fig. (iii) ABC is a triangle which has no diagonal. Ex 3.1 Class 8 Maths Question 3. What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and verify) Solution: In the given figure, we have a quadrilateral ABCD. Join AC diagonal which divides the quadrilateral into two triangles ABC and ADC. In ∆ABC, ∠3 + ∠4 + ∠6 = 180°…(i) (angle sum property) In ∆ADC, ∠1 + ∠2 + ∠5 = 180° …(ii) (angle sum property) Adding, (i) and (ii) ∠1 + ∠3 + ∠2 + ∠4 + ∠5 + ∠6 = 180° ...

NCERT Solutions for Class 8 Maths Chapter 3 by Vedantu provides solutions for exercises on quadrilaterals. These solutions are written by expert teachers as per the latest CBSE guidelines. If you follow Vedantu’s NCERT Solutions for Class 8 Maths Chapter 3 PDF thoroughly, you can easily understand all the fundamental concepts related to Quadrilaterals. These solutions provide you with a detailed step by step answers for each problem. Download today NCERT Solutions for Class 8 Maths Chapter 3 to ease your exam preparation.Vedantu is a platform that provides free NCERT Solution and other study materials for students. Science Students who are looking for NCERT Solutions for Class 8 Science will also find the Solutions curated by our Master Teachers really Helpful. \[\left( \text \right)\] Ans: We know that in parallelograms adjacent angles are supplementary, we got $\text \right)\] Ans: We know that in parallelograms adjacent angles are supplementary, we got $\text \right)\] Ans: From observing the figure, we got \[\text \right)\] Ans: From observing the figure, we get \[\text \right)\] From the figure, we got that \[\text\] Ans: As we know that in parallelogram, the opposite angles are equal So, according to the given condition, the opposite angles aren’t equal Therefore, we can’t say that given quadrilateral is a parallelogram. 4. Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure. Ans: As we can see, we h...

y = 100° (iv) z = 80° Question 3. Can a quadrilateral ABCD be a parallelogram if (i) ∠D + ∠B = 180°? (ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm? (iii)∠A = 70° and ∠C = 65°? Solution: (i) Yes, The quadrilateral ABCD be a parallelogram if ∠D + ∠B = 180°, it should also fulfilled some conditions which are: (a) The sum of the adjacent angles should be 180°. (b) Opposite angles must be equal. (ii) No, opposite sides should be of the same length. Here, AD ≠ BC (iii) No, opposite angles should be of same measures. Here, ∠A ≠ ∠C Question 4. Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure. Solution: ABCD is a figure of quadrilateral which is not a parallelogram but has exactly two opposite angles that is ∠B = ∠D of equal measure. It is not a parallelogram because ∠A ≠ ∠C. Question 5. The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram. Solution: Let the measures of two adjacent angles ∠A and ∠B be 3x and 2x respectively in parallelogram ABCD. ∠A + ∠B = 180° ⇒ 3x + 2x = 180° ⇒ 5x = 180° ⇒ x = 36° As we know opposite sides of a parallelogram are equal. ∠A = ∠C = 3x = 3 × 36° = 108° ∠B = ∠D = 2x = 2 × 36° = 72° Question 6. Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram. Solution: Let ABCD be a parallelogram. The sum of adjacent angles of a parallelogram ...