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Standard IX
Mathematics
SAS Criteria for Congruency
Question
Without drawing exact triangles, state, giving reasons, whether the given pairs of triangle are congruent or not :
Δ
P
Q
R
a
n
d
Δ
S
Q
R
;
P
Q
=
S
R
a
n
d
∠
P
Q
R
=
∠
S
Q
R
.
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Solution
Verified by Toppr
In
△
PQR and SQR,
P
Q
=
S
R
(Given)
∠
P
Q
R
=
∠
S
Q
R
(Given)
Q
R
=
Q
R
(Common)
Hence,
△
P
Q
R
≅
△
S
Q
R
(SAS postulate)
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Without drawing exact triangles, state, giving reasons, whether the given pairs of triangle are congruent or not :
Δ
P
Q
R
a
n
d
Δ
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Q
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;
P
Q
=
S
R
a
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d
∠
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Q2
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a
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a
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P
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;
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A
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a
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d
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;
A
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