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Byju's Answer
Standard VII
Mathematics
Similar Figures
ΔABC and ΔABD...
Question
Δ
A
B
C
and
Δ
A
B
D
are on a common base
A
B
and
A
C
=
B
D
and
B
C
=
A
D
as shown in Figure. Which of the following statements is true?
A
Δ
A
B
C
≅
Δ
B
A
D
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B
Δ
A
B
C
≅
Δ
A
B
D
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C
None of the above
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D
Δ
A
B
C
≅
Δ
A
D
B
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Solution
The correct option is
A
Δ
A
B
C
≅
Δ
B
A
D
In
Δ
A
B
C
and
Δ
B
A
D
we have,
A
C
=
B
D
(given)
B
C
=
A
D
(given)
And
A
B
=
B
A
(corresponding parts of congruent triangles)
Therefore, by
S
S
S
criterion of congruency,
Δ
A
B
C
≅
Δ
B
A
D
Option
C
is the correct answer.
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Similar questions
Q.
∆ ABC and ∆ ABD are on a common base AB, and AC = BD and BC = AD as shown in Fig. 18. Which of the following statements is true?
(i) ∆ ABC ≅ ∆ ABD
(ii) ∆ ABC ≅ ∆ ADB
(iii) ∆ ABC ≅ ∆ BAD