DF is equal to QR and $∠$ Q equals $∠$ D. Which is the closest criterion for congruency of triangles to prove the given two triangles are congruent?

ASA

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RHS

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SAS

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SSS

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Solution

The correct option is A ASA
In triangles, $△$ DFE and $△$ QRP
$∠$ D = $∠$ Q (given)
DF = QR (given)
$∠$ F = $∠$ R = 90 $^{\circ}$
Therefore, by ASA criterion, $△$ DFE and $△$ QRP are congruent.

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Question 46

By which congruency criterion, the two triangles in the given figure are congruent?

a) RHS
b) ASA
c) SSS
d) SAS

△ P Q R ≅ △ U T S

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