If in ABC- AB - 10-cm- - CAB - 30- nbsp-and - CBA - 60- and in DEF- nbsp- FE - 10-cm- - DFE - 30- - DEF - 60- then- select the correct statement- nbsp- Delta-BCA nbsp- Delta-EFD- Delta-BAC - Delta-FDE-ABC - nbsp-FDE-ABC - -FED-

The correct option is D ΔABC ≅ ΔFED In nbsp; ABC and FED, ∠ CAB = ∠ DFE = nbsp; 30^∘ ∠ CBA = ∠ DEF = nbsp; 60^∘ AB = FE =10 cm We see that nbsp;tw ...

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Byju's Answer

Standard VIII

Mathematics

If in ABC, AB...

Question

If in $△ A B C$ , $A B = 10 c m$ , $∠ C A B$ = $30^{\circ}$ and $∠ C B A$ = $60^{\circ}$ and in $△ D E F$ , $F E = 10 c m$ , $∠ D F E = 30^{\circ}$ , $∠ D E F = 60^{\circ}$ ; then, select the correct statement.

ΔABC $≅$ ΔFDE

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ΔABC $≅$ ΔFED

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ΔBAC $≅$ ΔFDE

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ΔBCA $≅$ ΔEFD

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Solution

The correct option is B
ΔABC $≅$ ΔFED

$In △ A B C and △ F E D$ ,

$∠ C A B = ∠ D F E = 30^{\circ}$
$∠ C B A = ∠ D E F = 60^{\circ}$
$A B = F E = 10 cm$

We see that two angles and the included side of $△ A B C$ are equal to two angles and the included side of $△ F E D$ .

$∴ △ A B C ≅ △ F E D$
(ASA congurency criterion)

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If in $△ A B C$ , $A B = 10 c m$ , $∠ C A B$ = $30^{\circ}$ and $∠ C B A$ = $60^{\circ}$ and in $△ D E F$ , $F E = 10 c m$ , $∠ D F E = 30^{\circ}$ , $∠ D E F = 60^{\circ}$ ; then, select the correct statement.

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Standard VIII Mathematics

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If in △ABC, AB=10 cm, ∠CAB = 30∘ and ∠CBA = 60∘ and in △DEF, FE=10 cm, ∠DFE=30∘, ∠DEF=60∘; then, select the correct statement.

The correct option is B ΔABC ≅ ΔFED In △ABC and △FED, ∠CAB=∠DFE=30∘ ∠CBA=∠DEF=60∘ AB=FE=10 cm We see that two angles and the included side of △ABC are equal to two angles and the included side of △FED. ∴△ABC≅△FED (ASA congurency criterion)

If in $△ A B C$ , $A B = 10 c m$ , $∠ C A B$ = $30^{\circ}$ and $∠ C B A$ = $60^{\circ}$ and in $△ D E F$ , $F E = 10 c m$ , $∠ D F E = 30^{\circ}$ , $∠ D E F = 60^{\circ}$ ; then, select the correct statement.