The triangles, $△$ ADC and $△$ DBE has equal hypotenuse. Their perpendiculars CA and ED have same length.
Choose the correct statement(s).

∠

CAD =

∠

BED

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CA = ED

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∠

ADC =

∠

DBE

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CA = DB

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Solution

The correct options are
B CA = ED
C $∠$ ADC = $∠$ DBE
In $△$ ADC and $△$ DBE,

given,
hypotenuse AD = DB
perpendicular CA = ED
and, $∠$ DCA = $∠$ BED = right angle

So, by RHS criterion for congruency of triangles, $△$ ADC $≅$ $△$ DBE

Hence,
BE = DC (corresponding parts)
$∠$ ADC = $∠$ DBE (corresponding parts)

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