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

Exercise 5F 12. a. 150° b. 110° c. 50° d. 180°
1. a. Square b. 2 c. 360° d. 1 e. 50° f. 90° g. 130° h. 30°
2. a. → ii b. → iii c. → i d. → v e. → iv 1 4 2
13. a. 5 b. 3 c. 23 14.
3. a. Every square is a rectangle because it is a quadrilateral having 2 5 5
four right angles and equal opposite sides, but every rectangle is 15. a. 5775 b. 103680 c. 81 kg
not a square, as all of its sides may not be equal.
b. A rhombus is a parallelogram because its opposite sides are 16. a. Yes b. Yes c. Yes d. Yes
c. 90
d. 3
17. a. 2
b. 360
parallel and equal. 18. a. 32,000 b. equivalent c. obtuse d. equilateral
c. Yes, e.g., Right-angled trapezium
d. Diagonals of a rectangle are equal but not perpendicular, while Chapter 6: Symmetry and Patterns
diagonals of a rhombus are unequal but perpendicular to each Warm Up
other. 1. Flags of Japan, India and Austria are symmetrical.
2. 50 stars are arranged column wise in the pattern → 5-4-5-4-5-4-5-
e. A kite is not a parallelogram because it does not have both pairs
of opposite sides parallel. 4-5-4-5
4. a. Isosceles triangles, right-angle triangles and scalene triangles Thirteen horizontal stripes, alternating red and white as → Red-
b. Two pairs c. No d. 2 e. 90° White-Red-White
Exercise 6A
Exercise 5G
1. a. O b. AB c. OA, OB, OP d. CD, AB 2. a. 5 b. 1 c. 8 d. 2
e. A, P, D, B, C f. R, Q g. M, N, O h. 2 e. 6 f. 2
i. chord j. diameter AB 4. a. B, C, D, E, b. A, M, T, U, V, W, Y c. H, I, O, X
2. a. False b. True c. False d. True 5. a. 1 b. 2 c. 3 d. 6
e. False e. no
4. a. 4 cm b. 6 cm c. 22 cm d. 16 cm Exercise 6B
5. a. 3 cm b. 5 cm c. 12 cm d. 8 cm 1. a. Flip b. Turn c. Slide d. Turn
Exercise 5H e. Turn f. Flip
1. a. → ii b. → iv c. → i d. → iii 2. b and c 3. a, c and d

2. a. 8 b. 12 c. 6 d. 1 4. a. O b. H, I, N, O, S, X and Z
3. a. 10 b. 8 c. 24 1 1

Learning Logs 6. a. 4 turn b. 4 turn
1. a. vertex b. degrees c. straight d. complete
e. different f. 2 7. b. at 8 c. at 12 d. at 2

2. a. False b. False c. True d. False 8. b. at 8 c. at 3 d. at 10
3. ∠ABC = 45°, ∠PQR = 30°, ∠STU = 255°, ∠RST = 125°, ∠DEF = 90° Exercise 6C
∠PQR < ∠ABC < ∠DEF < ∠RST < ∠STU 1. a. 6 b. 2 c. 3 d. 2
4. a. Right angle b. Acute angle c. Obtuse angle e. 1 f. 3 g. 2 h. 5
d. Straight angle e. Right angle f. Obtuse angle i. 4 j. 1 k. 6 l. 8
5. Obtuse angle 2. a. 180° b. 180° c. 180° d. 360°
6. a. 3 b. 1 c. 1 d. 30 e. 45° f. 90°
Mental Maths Exercise 6D
1. d 2. c 3. d 4. a 2. a. → iii b. → i c. → iv d. → ii
5. c 6. a Exercise 6E
HOTS 1. a. 1st row: 1-under, 3-over, 3-under, 3-over, 3-under, 3-over......
1. 2nd row: 3-over, 3-under, 3-over, 3-under, 3-over ...........
b. 1st row: 1-under, 3-over, 1-under, 3-over, 1-under, .............
2nd row: 2-under, 1-over, 3-under, 1-over, 3-under, 1-over, ...........

3. every shope is turn with 45° angle.
2. 6; triangle ABD, triangle ADE, triangle AEC, triangle ABE, triangle ADC, Learning Logs
triangle ABC 1. a. 1 b. 2 c. 1 d. 2
Puzzle 3. a. 4th picture b. 5th picture c. 6th picture d. 35
e. 24
Mental Maths
1. d 2. c 3. d 4. a
Model Test Paper 1 5. c 6. d
HOTS
1. b 2. c 3. d 4. c 5. c 1. a. b.
6. a 7. b 8. b 9. d 10. a
11. a. 320480 b. 60544 c. 3488

264 Mathematics 5