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Byju's Answer
Standard IX
Mathematics
SAS Criteria for Congruency
In the given ...
Question
In the given
A
B
and
C
D
bisect each other at
O
.State the three pairs of equal parts in two triangles
A
O
C
and
B
O
D
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Solution
From the given figure,
1.
O
C
=
O
D
2.
O
A
=
O
B
∠
C
O
A
=
180
o
−
∠
C
O
B
.
.
.
.
.
(
1
)
(linear pair)
∠
D
O
B
=
180
o
−
∠
C
O
B
.
.
.
.
.
.
.
(
2
)
(linear pair)
3.
∠
C
O
A
=
∠
D
O
B
from
(
1
)
&
(
2
)
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Q.
Line-segments AB and CD bisect each other at O. AC and BD are joined forming triangles AOC and BOD. State the three equality relations between the parts of the two triangles, that are given or otherwise known. Are the two triangles congruent? State in symbolic form. Which congruence condition do you use?