The Triangle and Its Properties Exercise 6.4 1). Is it possible to have a triangle with the following sides? (i) 2 cm, 3 cm, 5 cm (ii) 3 cm, 6 cm, 7 cm (iii) 6 cm, 3 cm, 2 cm Solution: (i) 2 cm, 3 cm, 5 cm The sum of the lengths of […]
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The Triangle and Its Properties Exercise 6.3 1). Find the value of the unknown x in the following diagrams: i). by angle sum property of a triangle mÐA + mÐB + mÐC = 1800 x + 500 + 600 = 1800 x + 1100 = 1800 x = 1800 – 1100 x = 700
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The Triangle and Its Properties Exercise 6.2 1). Find the value of the unknown exterior angle x in the following diagrams: i). the sum of interior opposite angles = exterior angle 500 + 700 = x 1200 = x x = 1200 ii). the sum of interior opposite angles = exterior angle
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The Triangle and Its Properties Exercise 6.1 1). In D PQR, D is the mid-point of QR. PM is _________________. PD is _________________. Is QM = MR? Answer: PM is altitude. PD is median. Is QM = MR? No QM ≠ MR 2). Draw rough sketches for the following: (a) In DABC, BE is a
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Lines and Angles Exercise 5.2 1). State the property that is used in each of the following statements? (i) If a || b, then ∠1 = ∠5. (ii) If ∠4 = ∠6, then a || b. (iii) If ∠4 + ∠5 = 180°, then a || b. Answer: (i) If a || b, then ∠1 =
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Lines and Angles Exercise 5.1 1). Find the complement of each of the following angles: i) 200 ii). 630 iii). 570 Solution: i) 200 let the complementary of 200 be x. x + 20 = 90 x = 90 – 20 x = 70 ii). 630 let the complementary of 630 be x. x
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Simple Equations Exercise 4.4 1). Set up equations and solve them to find the unknown numbers in the following cases: (a) Add 4 to eight times a number; you get 60. Let the given number be x By the given condition of the problem 8x + 4 = 60 Transposing 4 to RHS 8x
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Simple Equations Exercise 4.3 1). Solve the following equations: (a) 2 y + 5/2 = 37/2 (b) 5t + 28 = 10 (c) a/5 + 3 = 2 (d) q/4 + 7 = 5 (e) 5/2 x = –5 (f) 5/2 x = 25/4 (g) 7m+ 19/2 =13 (h)
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Simple Equations Exercise 4.2 1). Give first the step you will use to separate the variable and then solve the equation: (a) x – 1 = 0 (b) x + 1 = 0 (c) x – 1 = 5 (d) x + 6 = 2 (e) y – 4 = – 7
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Simple Equations Exercise 4.1 1). Complete the last column of the table. Answer: S No. Equation Value Say, whether the Equation is satisfied (Yes/No) i x + 3 = 0 x = 3 No ii x + 3 = 0 x = 0 No iii x + 3 = 0 x = -3 Yes iv
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