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 marked congruent parts

First triangle: right angle, one leg with two ticks, one leg with one tick.
Second triangle: right angle, one leg with two ticks, one leg with one tick.

Step2: Match congruent side-angle-side pairs

Right angles are congruent ($\angle = 90^\circ$).
Two-tick legs: $\text{Leg}_1 \cong \text{Leg}_1'$
One-tick legs: $\text{Leg}_2 \cong \text{Leg}_2'$
This fits the SAS (Side-Angle-Side) congruence criterion.

Step3: State triangle relationship

The triangles are related by a rigid transformation (reflection/rotation/translation), which preserves congruence.

Answer:

The two triangles are related by SAS congruence criterion, so the triangles are congruent.