Question

question
determine the relationship between the two triangles and whether or not they can be proven to be congruent.
answer
the two triangles are related by
, so the triangles

Explanation:

Step1: Identify triangle properties

Both are right triangles ($90^\circ$ angle). One pair of legs is congruent (single tick mark), the other pair of legs is congruent (double tick mark).

Step2: Match congruence criterion

This fits the SAS (Side-Angle-Side) congruence rule: two sides and the included right angle of one triangle equal the corresponding parts of the other.

Step3: Describe transformation

The triangles are related by a reflection (or rotation/translation, but reflection is the most direct visual relationship), which is a rigid transformation preserving congruence.

Answer:

The two triangles are related by a rigid transformation (reflection), so the triangles can be proven congruent by the SAS congruence postulate.