Question

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Explanation:

Step1: Analyze Triangle Sides

Check the tick marks: one triangle has sides with tick marks (e.g., two ticks, three ticks, one tick), the other has corresponding tick marks (two ticks, three ticks, one tick). So sides are equal: \( SSS \) (three sides) or check correspondence. Wait, the triangles can be related by a rotation (since orientation changed, but sides match). Rotation is a rigid transformation (preserves side lengths and angles).

Step2: Congruence via Rigid Transformation

Rigid transformations (rotation, reflection, translation) preserve congruence. Since the triangles have all corresponding sides equal (tick marks: two sides with two ticks? Wait, no: first triangle: one side with three ticks, one with two ticks, one with one tick. Second triangle: same tick marks on corresponding sides. So rotation (a rigid motion) relates them. By SSS congruence (all three sides equal), or by rigid transformation (rotation) which implies congruence. So the triangles are related by rotation (a rigid transformation), so they are congruent.

Answer:

The two triangles are related by \(\boldsymbol{\text{rotation}}\) (a rigid transformation), so the triangles \(\boldsymbol{\text{are congruent}}\).