Question

4) In the adjoining figure, AB = FC, EF = BD and AFE = CBD. Then the rule by which AAFE - ACBD is 13 O SAS کہا ASA O SSS O AAS​

Answer 1

Answer:

i) We have,

AB=CF

=> AB+BF=CF+BF

=> AF=CB - - - - (i)

In triangles AFE and CBD, we have

AF=CB [From (i)]

∠AFE = ∠DBC [Given]

EF=BD [Given]

So, by SAS criterion of congruence, we have

Δ AFE ≅ Δ CBD

ii) Since, Δ AFE ≅ Δ CBD

therefore, ∠D=∠E [C. P. C. T.]

Answer 2

Answer:

Here's your answer

Step-by-step explanation:

$\huge \mathfrak \red{given}$

AB = FC , EF = BD and angle AFE = angle CBD

$\huge \mathfrak \purple{to prove}$

By which congruence ∆ AFE congruent ∆ CBD

$\huge \mathfrak \blue{proof}$

AB = FC

Adding BF on both,

AB+BF = FC+BF

AF = BC

In ∆ AFE and ∆ CBD

EF = BD (GIVEN)

AF = BC (GIVEN)

Angle AFE = Angle CBD (GIVEN)

THEREFORE, ∆ AFE CONGRUENT ∆ CBD

(BY SAS CONGRUENCE)

Therefore, option (A) is correct answer

$\huge \mathfrak \pink{hope it will help you}$