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Byju's Answer
Standard IX
Mathematics
AAS Criteria for Congruency
In Figure, PS...
Question
In Figure, PS = QR and
∠
S
P
Q
=
∠
R
Q
P
.
Prove that PR = QS and
∠
Q
P
R
=
∠
P
Q
S
.
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Solution
In
Δ
S
P
Q
a
n
d
Δ
R
Q
P
,
we have
PS = QR [Given]
∠
S
P
Q
=
∠
R
Q
P
[Given]
PQ = PQ [Common]
Therefore, by SAS criterion of congruence, we have
Δ
S
P
Q
≅
Δ
R
Q
P
⇒
S
Q
=
R
P
a
n
d
∠
Q
P
R
=
∠
P
Q
S
(c.p.c.t.)
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