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Which of the following conditions correctly states that is similar to on the basis of…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
Which of the following conditions correctly states that
△
A
B
C
\triangle ABC
△
A
B
C
is similar to
△
D
E
F
\triangle DEF
△
D
E
F
on the basis of the Side–Side–Side (SSS) criterion? (a)
A
B
B
C
=
D
E
E
F
=
C
A
F
D
\dfrac{AB}{BC}=\dfrac{DE}{EF}=\dfrac{CA}{FD}
B
C
A
B
=
E
F
D
E
=
F
D
C
A
(b)
A
B
=
D
E
,
B
C
=
E
F
,
C
A
=
F
D
AB = DE,\; BC = EF,\; CA = FD
A
B
=
D
E
,
B
C
=
E
F
,
C
A
=
F
D
(c)
A
B
D
E
=
B
C
E
F
=
C
A
F
D
\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{CA}{FD}
D
E
A
B
=
E
F
B
C
=
F
D
C
A
(d)
A
B
D
E
=
B
C
F
D
=
C
A
E
F
\dfrac{AB}{DE}=\dfrac{BC}{FD}=\dfrac{CA}{EF}
D
E
A
B
=
F
D
B
C
=
E
F
C
A
Related theory
Similarity
Triangle similarity conditions
Criteria for similarity (AAA SSS SAS)
Triangles
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