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Byju's Answer
Standard VII
Mathematics
SAS Criteria for Congruency
ABCD is a qua...
Question
ABCD is a quadrilateral in which
A
D
=
B
C
a
n
d
∠
D
A
B
=
∠
C
B
A
(See the given figure). Prove that
BD = AC
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Solution
I
n
Δ
A
B
D
a
n
d
Δ
B
A
C
A
D
=
B
C
(
G
i
v
e
n
)
∠
D
A
B
=
∠
C
B
A
(
G
i
v
e
n
)
A
B
=
B
A
(
C
o
m
m
o
n
)
∴
Δ
A
B
D
≅
Δ
B
A
C
(
B
y
S
A
S
c
o
n
g
r
u
e
n
c
e
r
u
l
e
)
∴
B
D
=
A
C
(
B
y
C
P
C
T
)
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1
Similar questions
Q.
Question 2 (ii)
ABCD is a quadrilateral in which
A
D
=
B
C
a
n
d
∠
D
A
B
=
∠
C
B
A
(See the given figure). Prove that
BD = AC
Q.
ABCD is a quadrilateral in which AD = BC and
∠
D
A
B
=
∠
C
B
A
(See the given figure). Prove that
∠
A
B
D
=
∠
B
A
C
.
Q.
Question 2 (ii)
ABCD is a quadrilateral in which
A
D
=
B
C
a
n
d
∠
D
A
B
=
∠
C
B
A
(See the given figure). Prove that
BD = AC
Q.
ABCD is a quadrilateral in which AD = BC and
∠
D
A
B
=
∠
C
B
A
(See the given figure). Prove that
Δ
A
B
D
≅
Δ
B
A
C
Q.
A
B
C
D
is a quadrilateral in which
A
D
=
B
C
and
∠
D
A
B
=
∠
C
B
A
.
Prove that
B
D
=
A
C
.
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