Congruence and Similarity (II) 9.33
Refer to the figure. Is it possible for quadrilaterals
ABCD and EFGH to be congruent figures?
120°
95°
A
B
C
D
70°
EF
G
H
In ABCD,
+ABC + 95c = 180c (int. +s, AD # BC)
+ABC = 85c
+BCD + 120c = 180c (int. +s, AD # BC)
+BCD = 60c
a +EFG = 70c
` +EFG is not equal to any angle of ABCD.
` It is impossible for ABCD and EFGH to be congruent
figures.
Level 2
Example 15
Solution
ABCD and EFGH do not have
the property 'corresponding
angles are equal'.
◀
When all the corresponding sides of two quadrilaterals are equal (SSSS )
or all their corresponding angles are equal (AAAA), are they necessarily
congruent? Let's explore in Class Activity 9.1.
Refer to the figure. Is it possible for quadrilaterals ABCD and EFGH
to be congruent figures?
65°
80°
A D
C
B
110°
E H
G
F
15
Instant Drill
➥ Ex 9C 14
From the given information,
can you say that each pair of
figures in (a) and (b) must be
congruent figures?
(a)
(b)