For - ABC and - DEF- AB-FE- BC-ED and - B- E- Therefore -

The correct option is D Δ BCA≅Δ EDF For, #160; Δ BCA and #160; Δ EDF, AB=FE ∴∠ C=∠ D BC=ED ∴∠ A=∠ F ∠ B=∠ E Δ BCA≅Δ DEF ...

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Byju's Answer

Standard IX

Mathematics

SAS Criteria for Congruency

For Δ ABC a...

Question

For $Δ A B C$ and $Δ D E F,$ $A B = F E, B C = E D$ and $∠ B = ∠ E$ . Therefore ............

Δ A B C ≅ Δ D E F

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Δ A B C ≅ Δ E D F

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Δ B C A ≅ Δ D E F

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Δ B C A ≅ Δ E D F

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Solution

The correct option is D $Δ B C A ≅ Δ E D F$
For, $Δ B C A$ and $Δ E D F,$
$A B = F E ∴ ∠ C = ∠ D$
$B C = E D ∴ ∠ A = ∠ F$
$∠ B = ∠ E$
$Δ B C A ≅ Δ D E F$
(By $S A S$ condition for congruence).

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Similar questions

Q. For

Δ A B C

and

Δ D E F

∠ B = ∠ D = 90^{o}

A C = E F

and

A B = E D

. Then

Δ A B C ≅

..........

$I n Δ A B C a n d Δ D E F, it is given that ∠ B = ∠ E a n d ∠ C = ∠ F . In order that Δ A B C ≅ Δ D E F, we must have (a) A B = D F (b) A C = D E (c) B C = E F (d) ∠ A = ∠ D$

Q. For

Δ A B C

and

Δ D E F

∠ B = ∠ D, ∠ C = ∠ F

and

B C = D F

. Therefore which of the following is correct?

$I n Δ A B C a n d Δ D E F, it is given that AB = DE and BC = EF. In order that Δ A B C ≅ Δ D E F, we must have (a) ∠ A = ∠ D (b) ∠ B = ∠ E (c) ∠ C = ∠ F (d) none of these$

Q. Question 3
If

Δ A B C \sim Δ E D F a n d Δ A B C

is not similar to

Δ D E F

, then which of the following is not true?

(A) BC.EF = AC.FD
(B) AB.EF = AC.DE
(C) BC.DE = AB.EF
(D) BC.DE = AB.FD

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For ΔABC and ΔDEF, AB=FE,BC=ED and ∠B=∠E. Therefore ............

The correct option is D ΔBCA≅ΔEDFFor, ΔBCA and ΔEDF,AB=FE∴∠C=∠DBC=ED∴∠A=∠F∠B=∠EΔBCA≅ΔDEF(By SAS condition for congruence).

For $Δ A B C$ and $Δ D E F,$ $A B = F E, B C = E D$ and $∠ B = ∠ E$ . Therefore ............

The correct option is D $Δ B C A ≅ Δ E D F$
For, $Δ B C A$ and $Δ E D F,$
$A B = F E ∴ ∠ C = ∠ D$
$B C = E D ∴ ∠ A = ∠ F$
$∠ B = ∠ E$
$Δ B C A ≅ Δ D E F$
(By $S A S$ condition for congruence).