Congruence and Similarity (II) 9.49
Level 2
Find the unknowns in each of the following pairs of similar figures. [Nos.9-10]
9. ABCD + HGFE 10. ABCD + EFGH
9 cm
15 cm 6 cm
80°
HB
x
y
A
C
D
E
G F
42° 20°
16 cm
12 cm
18 cm
B C F G
z
x
y
A
M D
H
N
E
CMD and GNH are straight lines.
11. In the figure, ABCF + FEDC. BCD is a straight line.
(a) Find +CDE.
(b) Find CF.
12. In the figure, AEFD + EBCF. AEB and DFC are straight lines.
(a) Find AD.
(b) Find AE : AB.
13. It is given that ABCD and PQRS are quadrilaterals, and
ABCD + PQRS. +A = 70c, AB = 6 cm, BC = 2QR and AB # DC.
(a) Find +D. (b) Find +S. (c) Find PQ.
14. In the figure, WXYZ + MQPN. If WZ = 12 cm, YZ = 18 cm,
MN = a cm and PN = (a + 3) cm, find the value of a.
9 cm
6 cm
4 cm
125°
B
C
D
A F E
18 cm
12 cm
B C
F
E A D
W Z
12 cm
18 cm
(a + 3) cm a cm
X Y
P N
Q M