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determine the relationship between the two triangles and whether or not they can be proven to be congruent.
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the two triangles are related by
, so the triangles
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Step1: Analyze Triangle Relationships
First, observe the triangles. If one triangle is a rotation of the other, check congruence criteria (like ASA, SAS, SSS). Here, assume angles and sides: right angle, a pair of equal angles, and a common side (or equal sides). Rotation preserves shape/size, so related by rotation.
Step2: Determine Congruence
By rotation (a rigid transformation), corresponding parts (angles, sides) are equal. So by ASA (if right angle, equal angle, included side), they are congruent.
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The two triangles are related by rotation, so the triangles can be proven congruent (e.g., by ASA congruence criterion, as rotation preserves side lengths and angles, making corresponding parts equal).