In the following figures, which pairs of triangles are congruent by SAS congruence condition? If congruent, write the congruence of two triangles in the symbolic form :

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Solution

Checking the congruency:
In $∆ A C B$ and $∆ D E F$ ,
$A C = D E$ [ Each side $6 c m$ ]
$∠ C = ∠ E$ [ Each angle $30 °$ ]
$C B = E F$ [ Each side $3 c m$ ]
Therefore, by SAS congruence condition $∆ A C B ≅ ∆ D E F$

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In the following figures, which pairs of triangles are congruent by SAS congruence condition? If congruent, write the congruence of two triangles in the symbolic form :

Checking the congruency:In ∆ACB and ∆DEF, AC=DE [ Each side 6cm]∠C=∠E [ Each angle 30°] CB=EF [ Each side 3cm]Therefore, by SAS congruence condition ∆ACB≅∆DEF

Checking the congruency:
In $∆ A C B$ and $∆ D E F$ ,
$A C = D E$ [ Each side $6 c m$ ]
$∠ C = ∠ E$ [ Each angle $30 °$ ]
$C B = E F$ [ Each side $3 c m$ ]
Therefore, by SAS congruence condition $∆ A C B ≅ ∆ D E F$