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Byju's Answer
Standard VIII
Mathematics
Similarity
Explain, Why ...
Question
Explain, Why
△
A
B
C
≅
△
F
E
D
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Solution
Given that,
∠
B
A
C
=
∠
E
F
D
...(1)
∠
A
B
C
=
∠
F
E
D
=
90
∘
... (2)
Also, given that,
B
C
=
E
D
.
.
.
.
.
(
3
)
By using equation (1), (2), and (3), we obtain
△
A
B
C
≅
△
F
E
D
(AAS criterion)
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5
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Question 9
Explain, why
Δ
A
B
C
≅
Δ
F
E
D
?
Q.
(a) Observe the given triangles and explain, why is
Δ
A
B
C
≅
Δ
F
E
D
?
(b) In a
Δ
ABC,
∠
B = 50
∘
and
∠
C is 60
∘
. Find
∠
A.
[4 MARKS]
Q.
If
Δ
A
B
C
=
Δ
F
E
D
under the correspondence
A
B
C
↔
F
E
D
, write corresponding congruent parts of the triangles.
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