Similar triangles may or may not be congruent.
The true statement is (c) [tex]\mathbf{\trangle EFG \cong \angle YXZ}[/tex]
The given parameters are:
[tex]\mathbf{\angle E \cong \angle Y}[/tex]
[tex]\mathbf{\angle F \cong \angle X}[/tex]
The above angles are corresponding angles, and they are also congruent angles
This implies that:
The triangles are similar (not congruent) by AA postulate.
So, we have:
[tex]\mathbf{\trangle EFG \cong \angle YXZ}[/tex]
Hence, the true statement is (c) [tex]\mathbf{\trangle EFG \cong \angle YXZ}[/tex]
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