1) Find an equivalent fraction with the denominator 21 for each fraction. २ GR ) 7XB 7 7 7 2 1) 787) 7x5=42
Answers
Answer:
9.1
1. a. VE b. CF c. YI d. point M e. RP ,or opposite rays OR and OP 2. a. (i) Point A, B, D (ii) CD , CA (iii) CD , CA , CB
(iv) Line m, BD , CD b. (i) Point A, B, C, C2 (ii) d2 (iii) B1
C1
, A1
B2
, A1
C2 3. a. EF b. CD, GH c. BD, BE , BG d. 8 e. 20
4. a. A
B
b.
P Q
c.
B A C
d. S
R
e.
T
f.
G Q
5. a. 12 b. 16 6. a. (i) b. (iv) c. (ii) 7. a. Line b. Point c. Line segment d. Parallel lines e. Perpendicular lines f. Plane
g. Intersecting lines h. Ray 8. a. D, E and F b. D, G and F 9. a. True b. False c. True d. True e. True f. True
Exercise 9.2
1. a. (ii) b. (iii) c. (i) d. (ii) e. (iii) 2. a. Parallel lines b. Plane 3. a. True b. True c. False d. True 4. a. Intersecting
b. Parallel c. Intersecting d. Perpendicular e. Concurrent f. Perpendicular g. Concurrent h. Parallel
5. a. D
B
O
A
C
b. m
R
l c.
H
KJ
I
d.
R T
S U
e.
A
P Z
M
f. V
U
E
F
g. N W
UK
h.
A
N L
M
i.
A
B
three lines
C
j.
p
n o m
l
6. a. True b. True c. True d. False e. False f. True g. True h. False i. False j. False 7. Maximum = 3, minimum = 1
8. a. AB || CD, CD || EF , AF || BE , b. AE and BF , AF and EF , BE and EF , AB and BE (Note: For the answers a and b,more
combinations are possible.) c. BF , AE and CD; AF , EF and BF ;AE, BE and EF ; AB, BE and BF ; AE, BA and FA d. A, B,
E, F, O.
Exercise 9.3
1. a. ∠ABD, ∠DBE, ∠EBF, ∠FBG, ∠GBC, ∠ABE, ∠ABF, ∠ABG, ∠DBF, ∠DBG, ∠DBC, ∠EBG, ∠EBC, ∠FBC b. ∠SPQ, ∠SRQ,
∠PQR and ∠PSR c. ∠UVW, ∠VWX, ∠WXU, ∠XUV 2. 1 = ∠QOR, 2 = ∠ROS, 3 = ∠SOT, 4 = ∠TOU, 5 = ∠POU, 6 = ∠POQ
3. a. A, B, C, D, E, F b. G, H, I, J, P, Q, R c. K, L, O, M, N 4. b. ∠AOB and ∠BOC; ∠DOA and ∠AOB c. ∠DOA, ∠AOB, ∠BOC
d. ∠DOA and ∠AOB, ∠AOB and ∠BOC, ∠BOC and ∠COF, ∠COF and ∠FOE (Note: More combinations are possible.)
Exercise 9.4
1. Open curves – a and e, closed curves – b, c, d and f 2. Simple closed curve – b, c, d, e; Not simple closed curve – a
3. Polygons – c, d, e, f 4. a. A, B, C, D b. X, Y, Z c. P, Q, R, S 5. a. Sides – AE, ED, DC, CB, AB;
Angles – ∠AED, ∠EDC, ∠DCB, ∠CBA and ∠BAE b. AE and ED, ED and CD, CD and CB, CB and BA, and BA and AE
c. P, Q, R d. X, Y, Z, U e. V, W
Exercise 9.5
1. a. ΔABC, ΔABD, ΔABE, ΔACD, ΔACE, ΔADE b. ∠ABC, ∠ACB, ∠ACD, ∠ADC, ∠ADE, ∠BAC, ∠BAD, ∠BAE, ∠CAD, ∠CAE, ∠DAE,
∠AEB c. AB, BE, AE, AC, AD, BC, CD, DE, BD, CE d. ΔAEC, ΔAEB, ΔAED 2. a. say, ΔPQR b. PR c. ∠R