Consider the figure and choose the correct option.

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Question

Consider the figure and choose the correct option.

Options:

A .

Δ A B C ≅ Δ D E F

B .

Δ A B C ≅ Δ D F E

C .

Δ A B C ≅ Δ F E D

D .

Δ A B C

≆

Δ F E D

Answer: Option C
:
C

In $Δ A B C a n d Δ F E D$

BC = ED (Given in the figure);
$∠$ B = $∠$ E = $90^{\circ}$
$∠$ A = $∠$ F (Given in the figure)
$\Rightarrow$ $∠$ C = $∠$ D (Angle sum property of triangle)

Therefore, by ASA congruence condition, $Δ A B C ≅ Δ F E D$ .

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