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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
In the adjace...
Question
In the adjacent figure,
A
C
=
A
E
,
A
B
=
A
D
and
∠
B
A
D
=
∠
E
A
C
. Show that
B
C
=
D
E
.
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Solution
It is given that
∠
B
A
D
=
∠
E
A
C
Add
∠
D
A
C
on both side we get
∠
C
A
B
=
∠
D
A
E
In
△
B
A
C
a
n
d
△
E
A
D
A
C
=
A
E
(Given)
∠
C
A
B
=
∠
D
A
E
(Given)
A
B
=
A
D
(Given)
△
B
A
C
≅
△
E
A
D
B
C
=
D
E
(By corresponding portions of congruent triangles )
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0
Similar questions
Q.
In figure,
A
C
=
A
E
,
A
B
=
A
D
and
∠
B
A
D
=
∠
E
A
C
, show that
B
C
=
D
E
.
Q.
Question 6
In the given figure, AC = AE, AB = AD and
∠
B
A
D
=
∠
E
A
C
.
Show that
BC = DE.
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Condition for Two Lines to Be Parallel
Standard XII Mathematics
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