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 markings

Both triangles have two sides with the same tick marks (indicating equal length) and a right angle (marked by the square corner). So, they have two sides and the included right angle equal.

Step2: Identify transformation and congruence

The triangles can be related by a rotation (to align the right angles and sides). By the SAS (Side - Angle - Side) congruence criterion, since two sides and the included angle (the right angle) are equal, the triangles are congruent.

Answer:

The two triangles are related by rotation, so the triangles can be proven to be congruent (by SAS congruence, as they have two equal sides and the included right angle).