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Standard IX
Mathematics
SAS Criteria for Congruency
Question
Given
Δ
O
A
P
≅
Δ
O
B
P
in figure, the criteria by which the triangles are congruent is:
S
A
S
A
S
A
S
S
S
R
H
S
A
S
A
S
B
R
H
S
C
A
S
A
D
S
S
S
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Solution
Verified by Toppr
In
△
O
A
P
and
△
O
B
P
O
A
=
O
B
(given)
∠
A
O
P
=
∠
B
O
P
(given)
O
P
=
O
P
(common side)
∴
△
O
A
P
≅
△
O
B
P
by
S
A
S
congruent rule as two corresponding sides and the included angles of the triangles are equal.
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