Check if the triangles are similar. If similar, write the similarity in symbolic form. Mention the similarity condition used.

A S A

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S A S

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A A S

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NONE

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Solution

The correct option is B $S A S$
$A B = X Y$
$=> \frac{A B}{X Y} = 1 - (i)$
$B C = X Z$
$=> \frac{B C}{X Z} = 1 - (i i)$
$∠ A B C = ∠ Y X Z$
$∴ \frac{A B}{X Y} = \frac{B C}{X Z}$
$a n d i n c l u d e d a n g l e s e q u a l$
$=> ∠ A B C = ∠ Y X Z$
$∴ △ A B C \sim △ X Y Z b y S . A . S s i m i l a r i t y$

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Check if the triangles are similar. If similar, write the similarity in symbolic form. Mention the similarity condition used.

The correct option is B SASAB=XY=>ABXY=1−(i)BC=XZ=>BCXZ=1−(ii)∠ABC=∠YXZ∴ABXY=BCXZandincludedanglesequal=>∠ABC=∠YXZ∴△ABC∼△XYZbyS.A.Ssimilarity