Page 304 - Ganit Kaushal

1 2 7 1 7. Yes; 4 points; a square.
16. (a) (b) (c) (d)

3 15 18 6 8. 4 cm, 7 cm.
1 61 16  To divide a rectangle into two identical squares its
17. (a) (b) (c)
12 15 7 length should be twice the width.
7 6 4 3 1 2 3 5 (Note: There can be many answers to this question.
18. > > > 19. < < <
8 7 5 4 2 3 4 6 We have given one.)
3 1 3

20. 2 (Hint: 5 − 2 ) 9. 5 cm, 10 cm.
4 2 4  To divide a rectangle into three identical squares its
21. (a) 90 (b) milk drinkers; 45 length should be thrice the width.
(c) 180; yes (d) yes (Note: There can be many answers to this question.
Case Study Based Questions We have given one.)
1. (a) 2. (a) 3. (b) 4. (a) 10. yes
5. (c) Miscellaneous Exercise 8.5
Assertion Reason Type Questions 1. A ( A satisfies rules S1 and S2)
1. (b) 2. (d) 3. (c) 4. (a) 3. No, this is not possible.
5. (b) 6. (b) 7. (d) 8. (b) 9. 8 cm (sum of their radii) 10. (b)
Chapter Test 11. (d) 12. (d) 13. (b) 14. (a)
I. 1. (c) 2. (d) 3. (d) 4. (a) 15. (a) right; triangle (b) equidistant
5. (c) 6. (b) 7. (c) 8. (a) (c) Circumference / boundary
9. (a) 10. (b) (d) arcs; circles
II. 1. part 2. 0, 1 3. improper 4. unlike 16. (a) True (b) True (c) False (d) False
5. equivalent 6. smaller 7. larger/greater (e) True (f) False (180 parts)
8. 1 Assertion Reason Type Questions
III. 1. False 2. True 3. True 4. True 1. (a) 2. (b) 3. (c) 4. (d)
5. False 6. False Chapter Test
1 2 3 4 5 I. 1. (c) 2. (b) 3. (b) 4. (a)
IV. 1. , , ,,
11 10 9 8 7 II. 1. 180° 2. same 3. one 4. center
1
3
2. (i) 5 (Hint: 5 − 1 = 4 5 ) (ii) 87, 95 5. 30°, 60°, 90°
4 3 12 III. 1. False 2. False 3. True 4. False
1 4 1
3. 6 4. 1 5. 8 km; 3 km 5. True
2 7 3
IV. 2. 2 cm; difference of their radii.
Chapter 8: Playing with Constructions
Chapter 9: Symmetry
Exercise 8.1
3. Rectangle; square Exercise 9.1

4. Circles will touch each other and the point of contact 1. (a) (b) (c) (d)
will lie on the line AB.
8. Yes, the perpendicular bisector of AB passes through P. 2. (a) Any isosceles triangle (b) Any equilateral triangle

9. Perpendicular bisectors of the chords meet at the centre (c) Any Scalene Triangle

of the circle. No, this is not possible to draw a triangle with exactly
10. Yes, they are perpendicular to each other. two lines of symmetry.
Exercise 8.2
3. 10 cm along any diagonal. 3. (a) (b) (c)
6. All the sides are equal. (Answer may vary)

302 Mathematics-6