Page 204 - Mathematics_Form_Two

Chapter name

Exercise 3�2 (b) ∆ LMN  ∆ UTS (SAS theorem),

1. EFD∆  ∆ XZY(AA theorem) k = 1
7. LXY∆  ∆ UXZ(AA theorem) 3
9. The formula is not correct. (c) Not similar
8
18 = 12 , x =  27 SRT 3. ∆ k = 2 ∆ DOC (SAS theorem),
FOR ONLINE READING ONLY
AOB 
x
Mathematics for Secondary Schools (AA similarity theorem) T 5. (a) SAS theorem (b) 23 m
∆
10. (a) PQT∆

(c) 17 m
ˆ
ˆ ˆ
ˆ
ˆ
ˆ
B, Q ≡
R,and T ≡
(b) P ≡
DCE (SAS theorem),
∆
24
6. ∆
ACB 
5
, y =
(c) x =
3
5
k =
5
11. (a) EFH∆
ˆ
°
(b) JEF 34=  ∆ GFI (AA theorem) 7. (a) Not similar
12. (a) AOB∆  ∆ KOH(AA theorem) (b) ∆ RST  ∆ WUV, (SAS theorem),
(b) 4 3 1+ KH = 4.2cm
k = 3
13 (a) ABC∆  ∆ DCA(AA theorem) 5
24cm
AD
(c) AD 18cm, BD 36cm, DC= 18cm, BD 36cm, DC= = = = = 24cm 3 9
8. (a) , (b)
AD 18cm, BD 36cm, DC= = = 24cm 2 4
14. 72 m
3 Revision exercise 3
15. k = , NM = 9cm
2 1. Corresponding angles:
ˆ
ˆ
ˆ
ˆ
8 AEB and DEC, ABE and DCE,
16. (a) ADE∆ (b) k = and
5 ˆ ˆ
17. a = 7.4cm EAB and EDC
18. x = 12cm, y = 10cm Corresponding sides: AE and DE,
EB and EC, and AB and DC
Exercise 3�3
2. ÄABC  ÄDBA  ÄDAC (AA
1. ∆ PQR  ∆ BAC(SSS theorem)
Theorem).
2. n = 7 ˆ ˆ
ˆ
ˆ
6. ∆ ABC  ∆ ADE(SSS theorem) 3. LMN = ABC, , MNL= BCA ,
ˆ
ˆ
NLM = CAB
Exercise 3�4 PQ is proportional to AB, QR
1. (a) ∆ ABC  ∆ EDFSSS theorem), is proportional to BC, PR is
k = 2 proportional to AC.
198
Student's Book Form Two

11/10/2024 20:14:32
MATHEMATIC F2 v5.indd 198
MATHEMATIC F2 v5.indd 198 11/10/2024 20:14:32