9.32 Chapter 9
(b) Each pair of the figures below does not have the property
'corresponding sides are equal'. They are not congruent.
(i) (ii)
3 3 4 4
7 6
5
2
A D P S
C
Q R
B
E
2
1 1
1 1
F I H
G
P
2.5
1 1
1 1
Q T
R S
AD is not equal to any side of PQRS. EF = PQ, FG = QR, EI = PT and IH = TS,
but GH ! RS.
Refer to the figure. It is given that the perimeter of
quadrilateral PQRS is 20. Explain why it is impossible for
quadrilaterals ABCD and PQRS to be congruent figures.
6
D
A B C 4
5
7 S
P Q R
In PQRS,
PQ + QR + RS + SP = 20
PQ + 4 + 5 + 7 = 20
PQ = 4
a AB = 6
` AB is not equal to any side of PQRS.
` It is impossible for ABCD and PQRS to be congruent
figures.
Level 1
Example 14
Solution
ABCD and PQRS do not have the
property 'corresponding sides
are equal'.
◀
Refer to the figure. It is given that the perimeter of quadrilateral
ABCD is 16. Explain why it is impossible for quadrilaterals ABCD and
EFGH to be congruent figures.
2
3
6
A
D
C
B
4
E
H
G
F
14
Instant Drill
➥ Ex 9C 8