Page 265 - Touchpad Mathematics_Ver1.0_C5

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\ 19-Nov-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

4. a. 3 b. 3 c. 5 d. 3 b. i. 3 cycle ii. 7 cycle
7 11 12 10 8 8
5. a. < b. > c. < d. > e. < f. > 3
g. < h. = iii. 4 cycle iv. 1 complete cycle

4 2 9 15 44 20 65 6
6. a. 1 , , , b. 1 , , 6 , 2. a. Line segment, ( GH ) b. Line, ( AB )
5 5 5 5 25 25 25 25

c. Ray, ( RS ) d. Ray, ( VU )
5 5 5 5 25 17 7 5
7. a. , , , b. , , , 8. Baba Exercise 5A
3 6 9 27 24 24 24 24
1. b and d
Exercise 4D 2. a. ∠PQR b. ∠XYZ c. ∠LMN d. ∠EFG
5 3 9 6 6 5

1. a. b. c. d. e. f. 3. a. Arms: OP OT, ; Vertex: O; Angle: ∠POT
15 8 9 12 14 5

1 4 36 9 14 14
2. a. b. c. d. e. f. b. Arms: US UN, ; Vertex: U; Angle: ∠SUN
7 10 12 9 25 11
3. a. 3 2 b. 2 1 c. 1 1 d. 10 4. a. A b. A, C, D
3 2 3 Exercise 5B
2 3 1 1 1. a. 60° b. 140° c. 25° d. 165°
4. L 5. 7 cm 6. 20 metres 7. 4 kg
8 4 2 2 e. 140° f. 90°
Learning Logs 2. a. 65° b. 110° c. 90° d. 105°
18 19 20 29 Exercise 5C
1. a. b. c. d.
5 7 3 6 1. a. Acute angle b. Right angle
c. Obtuse angle d. Straight angle
1 5 4 1
2. a. 2 b. 3 c. 3 d. 2 2. a. Obtuse angle b. Right angle
8 6 5 7 c. Straight angle d. Reflex angle
e. Acute angle f. Reflex angle
4 6 8 10 8 12 16 20 10 15 20 25
3. a. ,, , b. , , , c. , , , g. Right angle h. Acute angle
6 9 12 15 14 21 28 35 12 18 24 30
3. a. Acute angle b. Obtuse angle
6 9 12 15 c. Obtuse angle d. Straight angle
d. , , , (Answer may vary)
10 15 20 25 e. Right angle f. Complete angle
g. Acute angle h. Obtuse angle
4. a. 18 b. 24 c. 81 i. Acute angle j. Reflex angle
5. a. Yes b. Yes c. No
4. a. ∠DEF – Acute angle b. ∠ABC – Straight angle
5 2 3 5
6. a. or b. c. d. c. ∠XYZ – Right angle d. ∠MNO – Reflex angle
9 5 4 9
5. Acute angles: C, D, E; Obtuse angle: A, H; Right angle: B, F, G

6. b. ∠GEH, ∠HEG, ∠E c. ∠XYZ, ∠ZYX, ∠Y
9 9 9 9 4 3 5 1
7. a. , , , b. 1 , , 2 , 4 7. a. ∠ABD or ∠DBE b. ∠ABE
35 28 14 7 12 12 12 12
c. ∠ABC d. ∠CBD
12 12 12 12 4 2 17 7 Exercise 5D
8. a. , , , b. 6 , 3 , ,
3 6 7 14 18 18 18 18 1 1 1 5
1. b. turn c. ( + ) turn or turn
8 2 8 8
5 1 2 4
9. a. or 1 b. 2 c. 4 d. 5
4 4 3 5 d. ( 1 + 1 ) turn or 9 turn
2 16 16
3 1 1 1
10. a. b. c. d. 1 1 3
5 2 5 4 2. a. b. c. d. Full

2 4 2 4
11. 26 kg
3 3. a. North b. South c. West d. East
e. South f. West g. West
HOTS Exercise 5E
4 1. a. A, B and C b. ∠ABC, ∠BCA, ∠BAC c. AB, BC, AC
9 km
9 2. a. Equilateral triangle b. Scalene triangle c. Isosceles triangle
Mental Maths d. Scalene triangle e. Equilateral triangle f. Scalene triangle
1. c 2. c 3. a 4. b
3. a. Right angled triangle b. Obtuse angled triangle
Chapter 5: Geometry c. Obtuse angled triangle d. Acute angled triangle
Warm Up e. Acute angled triangle f. Obtuse angled triangle
1. a. i. Full Moon ii. First Quarter 4. a, d 5. b, c, d, e
iii. Waxing Crescent iv. Waning Gibbous 6. a. iv b. i c. ii d. iii e. ii
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Answers