Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.

answer attempt 1 out of 2

the two triangles are related by
, so the triangles

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Explanation:

Step1: Analyze Triangle Angles/Sides

Assume the triangles have right angles (from the markings) and two sides marked equal. Rotation is a congruence transformation (preserves shape/size).

Step2: Determine Congruence

If one triangle is a rotation of the other, corresponding parts (angles/sides) are equal. By SAS (Side - Angle - Side) congruence (right angle, two equal sides), they should be congruent.

The two triangles are related by rotation (a congruence transformation that preserves side lengths and angles). To check congruence, we can use the SAS (Side - Angle - Side) criterion: both have a right angle (equal angle), and two pairs of marked sides are equal (corresponding sides). So, the triangles can be proven congruent.

Answer:

The two triangles are related by \(\boldsymbol{\text{rotation}}\), so the triangles \(\boldsymbol{\text{can be proven to be congruent}}\) (using SAS congruence criterion as they have a right angle, and two corresponding sides equal, with rotation preserving their shape and size).