Congruence and Similarity (II) 9.37
Find the unknown(s) in each of the following pairs of congruent figures. [Nos. 2-5]
2. ABCD , EFGH 3. ABCD , PQRS
D
A
C
B
HrE
6
G
F
A
R S
B C Q P
y
z
x
D
80°
4
10
4. ABCDEF , UVWXYZ 5. ABCD , EFGH
A
D
B
C
F
Ep h
U Z
120°
2
V Y
XW
B C
A D
F G
E H
x y
z
60° 5
4
85°
ABCDEF and UVWXYZ are regular hexagons.
6. Refer to the figure. Explain why it is impossible for quadrilaterals
ABCD and EFGH to be congruent figures.
40°
60°
60°
120°120°
H
D
B
C
A
F
E G
7. Refer to the figure. Explain why it is impossible for quadrilaterals
ABCD and PQRS to be congruent figures.
10 cm
6 cm
5 cm
5 cm
A D
B C 7 cm
P S
Q R
➥ Example 13