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Question

Consider the figure and choose the correct option.


A

ΔABCΔDEF

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B

ΔABCΔDFE

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C

ΔABCΔFED

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D

ΔABC ΔFED

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Solution

The correct option is C

ΔABCΔFED


In ΔABC and ΔFED

BC = ED (Given in the figure);
B = E = 90
A = F (Given in the figure)

C = D (Angle sum property of triangle)

Therefore, by ASA congruence condition, ΔABCΔFED .


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