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Standard IX
Mathematics
Question
In the figure OA = OB and OD = OC Show that
(a)
△
A
O
D
≅
△
B
O
C
(b) AD || BC
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Solution
Verified by Toppr
I
n
△
A
O
D
&
△
B
C
O
=
>
O
D
=
O
C
(given)
O
A
=
O
B
(given)
∠
A
O
D
=
∠
C
O
B
(vertically opposite)
=
>
△
A
O
D
≅
△
B
O
C
∠
O
A
D
=
∠
O
B
C
(angles corresponding to congruent sides)
[
∵
AD & BC make equal angles with the same line AB]
H
e
n
c
e
A
D
|
|
B
C
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Similar Questions
Q1
In the figure OA = OB and OD = OC Show that
(a)
△
A
O
D
≅
△
B
O
C
(b) AD || BC
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Q2
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7.8
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Q4
In the given figure, if OA = OB and OC = OD, then
△
A
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Q5
In the above figure, if OA
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