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Standard IX
Mathematics
SSS Criteria for Congruency
Question
If in two triangles
Δ
A
B
C
and
Δ
P
Q
R
,
A
B
=
Q
R
,
B
C
=
P
R
and
C
A
=
P
Q
,
then :
Δ
A
B
C
≅
Δ
P
Q
R
Δ
C
B
A
≅
Δ
P
R
Q
Δ
P
Q
R
≅
Δ
B
C
A
Δ
B
A
C
≅
Δ
R
P
Q
A
Δ
B
A
C
≅
Δ
R
P
Q
B
Δ
A
B
C
≅
Δ
P
Q
R
C
Δ
C
B
A
≅
Δ
P
R
Q
D
Δ
P
Q
R
≅
Δ
B
C
A
Open in App
Solution
Verified by Toppr
In
△
A
B
C
and
△
P
Q
R
, we are given
A
B
=
Q
R
,
B
C
=
P
R
and
C
A
=
P
Q
∴
Δ
C
B
A
≅
Δ
P
R
Q
.... SSS test
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6
Similar Questions
Q1
Question 4
If in two triangles
Δ
A
B
C
a
n
d
Δ
P
Q
R
,
A
B
Q
R
=
B
C
P
R
=
C
A
P
Q
, then
(A)
Δ
P
Q
R
∼
Δ
C
A
B
(B)
Δ
P
Q
R
∼
Δ
A
B
C
(C)
Δ
C
B
A
∼
Δ
P
Q
R
(D)
Δ
B
C
A
∼
Δ
P
Q
R
View Solution
Q2
Question 2
If AB = QR, BC+PR and CA = PQ, then
(A)
Δ
A
B
C
≅
Δ
P
Q
R
(B)
Δ
C
B
A
≅
Δ
P
Q
R
(C)
Δ
B
A
C
≅
Δ
B
C
A
(D)
Δ
P
Q
R
≅
Δ
B
C
A
View Solution
Q3
If in two triangles
Δ
A
B
C
and
Δ
P
Q
R
,
A
B
=
Q
R
,
B
C
=
P
R
and
C
A
=
P
Q
,
then :
View Solution
Q4
Question 4
If in two and
Δ
A
B
C
a
n
d
Δ
P
Q
R
,
A
B
Q
R
=
B
C
P
R
=
C
A
P
Q
, then
(A)
Δ
P
Q
R
∼
Δ
C
A
B
(B)
Δ
P
Q
R
∼
Δ
A
B
C
(C)
Δ
C
B
A
∼
Δ
P
Q
R
(D)
Δ
B
C
A
∼
Δ
P
Q
R
View Solution
Q5
If AB = QR, BC = RP and CA = PQ, then which of the following holds?
(a)
∆ABC ≅ ∆PQR
(b)
∆CBA ≅ ∆PQR
(c)
∆CAB ≅ ∆PQR
(d)
∆BCA ≅ ∆PQR
View Solution