Page 203 - Mathematics_Form_Two

Chapter name

Chapter Two 3. (a) ∠ ACB = 40° (c) ∠ ACB = 34°

Exercise 2�2 (b) ∠ ACB = 50°

ˆ
11. ABD 35= ° 4. (a) ABT∆ ∼∆ KLS
ˆ
ˆ
ˆ ˆ
(b) A ≅ K, , ˆ L, T S≅ ˆ .
B ≅
Exercise 2�3 1
FOR ONLINE READING ONLY
k =
,
ˆ
=
11. ADC 55° 5. (a) 2 or k = 2 ∆ DEF ∼∆ ABC
3
Exercise 2�4 (b) k = 5 or k = 5 , ∆ ABC ∼∆ ACD
3
ˆ
11. YZC = 40° k = 5 or k = 4 , ABC∆ ∼∆ CBD Mathematics for Secondary Schools
4 5
Revision exercise 2 3 4
k = or k = 3 , ACD∆ ∼∆ CBD
ˆ
16. AXB 92° 4 1
=
3
ˆ
17. 11. QRS 30= ° k = or k = , ∆ ABD ∼∆ CDE
3
18. a = 60 ,° b = 60 ,° c = 40 ,° 6. k = or k = 1 , ABC∆ ∼∆ AED
2
d = 100° 2
Corresponding angles:
∠ ABC and AED∠ ,
Chapter Three
∠ ACB and ADE∠ , and
Exercise 3�1 ∠ BAC and EAD∠ .

1. (b) Corresponding angles: ˆ 8. ∆ ACB ∼∆ ADC and
PQR and
ˆ
ˆ
ˆ
ˆ
TSM, QRP and QRP and RQP ∆ CDB ∼∆ ADC .
ˆ
and MST , 9. ∆ XYZ ∼∆ LNM .
Corresponding sides: PQ and TS, 10. Circles, squares, and congruent
PR and TM , QR and SM polygons
ˆ
(c) Corresponding angles: ABC and 11. ∠ S = 48 , ∠  N = 90 ,

ˆ
ˆ
ˆ
ˆ
LMN, BCA and MNL, CAB ∠ M = 42 , ∠  L = 48 
ˆ
and NLM LN = 4.5 cm, MN = 6 cm,
Corresponding sides: 7.5cm
AB and LM, BC and MN, y =
AC and LN 12. m = 8 cm .
13. x = .
6
2. (a) Not similar as the corresponding
sides are not proportional. 16. (a) AA similarity theorem
(b) Not similar as the corresponding (b) 18.9 metres
sides are not proportional. (c) 15 metres

197
Student's Book Form Two

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MATHEMATIC F2 v5.indd 197 11/10/2024 20:14:30
MATHEMATIC F2 v5.indd 197