Chapter 4 Practical Geometry Ex. 4.1
Chapter 4 Practical Geometry Ex. 4.1 Question 1. Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm, AC = 7 cm (ii) Quadrilateral JUMP JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm, PU […]
Chapter 3 Understanding Quadrilaterals
Chapter 3 Understanding Quadrilaterals Very Short Answer Type Question 1. In the given figure, ABCD is a parallelogram. Find x. Solution: AB = DC [Opposite sides of a parallelogram] 3x + 5 = 5x – 1 ⇒ 3x – 5x = -1 – 5 ⇒ -2x = -6 ⇒ x = 3 Question 2. In […]
Chapter 3 Understanding Quadrilaterals Exercise 3.4
Chapter 3 Understanding Quadrilaterals Exercise 3.4 Question 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 […]
Chapter 3 Understanding Quadrilaterals Exercise 3.3
Chapter 3 Understanding Quadrilaterals Exercise 3.3 Question 1. Given a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = ………… (ii) ∠DCB = ……… (iii) OC = ……… (iv) m∠DAB + m∠CDA = …….. Solution: (i) AD = BC [Opposite sides of a parallelogram are equal] (ii) ∠DCB = […]
Chapter 3 Understanding Quadrilaterals Exercise 3.2
Chapter 3 Understanding Quadrilaterals Exercise 3.2 Question 1. Find x in the following figures. Solution: (a) We know that the sum of all the exterior angles of a polygon = 360° 125° + 125° + x = 360° ⇒ 250° + x = 360° x = 360° – 250° = 110° Hence x = 110° […]
Chapter 3 Understanding Quadrilaterals Ex. 3.1
Chapter 3 Understanding Quadrilaterals
Chapter 2 Linear Equations in One Variable
Chapter 2 Linear Equations in One Variable Very Short Answer Type Question 1. Identify the algebraic linear equations from the given expressions. (a) x2 + x = 2 (b) 3x + 5 = 11 (c) 5 + 7 = 12 (d) x + y2 = 3 Solution: (a) x2 + x = 2 is not a linear equation. […]
Chapter 2 Linear Equations in One Variable Exercise 2.6
Chapter 2 Linear Equations in One Variable Exercise 2.6 Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. The ages of Hari and Harry are in the ratio 5 : 7. Four years from now the ratio of their ages will be 3 : 4. Find their present ages. Solution: Let the […]
Chapter 2 Linear Equations in One Variable Exercise 2.5
Chapter 2 Linear Equations in One Variable Exercise 2.5 Question 1. Solution: Question 2. Solution: LCM of 2, 4 and 6 = 12 (Multiplying both sides by 12) ⇒ 6n – 9n + 10n = 252 ⇒ 7n = 252 ⇒ n = 252 ÷ 7 ⇒ n = 36 Question 3. Solution: ⇒ -10x […]
Chapter 2 Linear Equations in One Variable Exercise 2.4
Chapter 2 Linear Equations in One Variable Exercise 2.4 Question 2. A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other number. What are the numbers? Solution: Let the positive number be x. Other number = 5x Condition I: […]