In the given AD - BE and - DAB - - EBA- Which of the following statements are true- - nbsp-DAB - EBA by SAS nbsp-postulate- DAB - EBA by ASA nbsp-postulate- DAB - EBA by AAS postulate-BD - AE-

The correct options are A Δ nbsp;DAB ≅Δ EBA by SAS nbsp;postulate D BD = AE In Δ nbsp;DAB and Δ EBA (i) AD = BE ………(given) (ii) ∠ DAB = ∠ EBA nbsp; ...

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Byju's Answer

Standard IX

Mathematics

SAS Rule

In the given ...

Question

In the given $A D = B E$ and $∠ D A B = ∠ E B A$ . Which of the following statements are true?

$Δ D A B ≅ Δ E B A$ by SAS postulate

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$Δ D A B ≅ Δ E B A$ by ASA postulate

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$Δ D A B ≅ Δ E B A$ by AAS postulate

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$B D = A E$

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Solution

The correct options are
A
$Δ D A B ≅ Δ E B A$ by SAS postulate

D
$B D = A E$

In $Δ D A B$ and $Δ E B A$

(i) $A D = B E$ ………(given)

(ii) $∠ D A B = ∠ E B A$ ……….(given)

(iii) $A B = A B$ ………(common)

$∴ Δ D A B ≅ Δ E B A$ … (SAS postulate)

$\Rightarrow B D = A E$ (CPCT)

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In the given AD=BE and ∠DAB=∠EBA. Which of the following statements are true?

The correct options are A ΔDAB≅ΔEBA by SAS postulate D BD=AE In ΔDAB and ΔEBA (i) AD=BE ………(given) (ii) ∠DAB=∠EBA ……….(given) (iii) AB=AB ………(common) ∴ΔDAB≅ΔEBA … (SAS postulate) ⇒BD=AE (CPCT)

In the given $A D = B E$ and $∠ D A B = ∠ E B A$ . Which of the following statements are true?