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Question

Which two triangles are congruent and by which congruent condition. ?

A
Δ ABC Δ DEC (Hypotenuse Leg)
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B
Δ ABC Δ CED(SAS)
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C
Δ CAB Δ DEC(ASA)
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D
All are correct
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Solution

The correct option is A Δ ABC Δ DEC (Hypotenuse Leg)
Here in the above picture,
AB=DE (given)

ABC=DEC=90o(given)

AC=DC(given)

Hence, ΔABCΔDEC( Hypo. Leg. Cong.)

As, one of the sides and corresponding Hypotanuse are equal in the given right triangles, so congruence condition is Hypotenuse Leg Congruency.
Hence, option(a) correct.

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