Mathematics
In the adjoining figure, AB = FC, EF = BD and ∠AFE = ∠CBD. Then the rule by which △AFE ≅ △CBD is
SAS
ASA
SSS
AAS
Triangles
21 Likes
Answer
In △AFE and △CBD,
Given,
⇒ AB = CF
⇒ AB + BF = CF + BF
⇒ AF = BC.
BD = EF (Given)
∠AFE = ∠CBD (Given).
Hence, △AFE ≅ △CBD by SAS axiom.
Hence, Option 1 is the correct answer.
Answered By
6 Likes
Related Questions
Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.
Which of the following is not a criterion for congruency of triangles?
SAS
ASA
SSA
SSS
In the adjoining figure, AB ⊥ BE and FE ⊥ BE. If AB = FE and BC = DE, then
△ABD ≅ △EFC
△ABD ≅ △FEC
△ABD ≅ △ECF
△ABD ≅ △CEF
In the adjoining figure, AB = AC and AD is median of △ABC, then ∠ADC is equal to
60°
120°
90°
75°
