9.38 Chapter 9
8. Refer to the figure. It is given that the perimeter of
quadrilateral ABCD is 29. Explain why it is impossible for
quadrilaterals ABCD and PQRS to be congruent figures.
7
6 8
B
C
D
A
9
Q
R
S
P
9. Refer to the figure. It is given that the sum of interior angles
of pentagon ABCDE is 540c. Explain why it is impossible for
pentagons ABCDE and PQRST to be congruent figures.
113° 117°
120°
A
B E
DC
P
Q T
SR
Level 2
Find the unknowns in each of the following pairs of congruent figures.
[Nos.10-11]
10. ABCD , SRQP
A D
B Q R
C
P S
x y
z
78°
74°
8 cm
9 cm
11. ABCDE , QPTSR
B C
D
S
Q R
E T
P
A
y
x z
28°
32°
7 cm
6 cm
12. It is given that PQRS and WXYZ are quadrilaterals, and
PQRS , WXYZ. +P = 95c, +R = 100c, YZ = 7 cm and PS # QR.
(a) Find +Q. (b) Find +Y. (c) Find RS.
➥ Example 14