Question

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

Explanation:

Step1: Identify corresponding sides

Top triangle: sides marked with 1 tick, 2 ticks, 3 ticks. Bottom triangle: sides marked with 2 ticks, 1 tick, 3 ticks.

Step2: Match congruent side sets

All three pairs of corresponding sides are congruent (matching tick marks mean equal length). This fits the SSS (Side-Side-Side) congruence criterion.

Step3: Describe triangle relationship

The triangles are related by a rearrangement (relabeling) of their vertices, which maps each side of one triangle to the congruent side of the other.

Answer:

The two triangles are related by a correspondence of all three pairs of congruent sides (SSS congruence criterion), so the triangles can be proven congruent.