Question

determine the relationship between the two triangles and whether or not they can be proven to be congr
answer attempt 1 out of 4
the two triangles are related by , so the triangles

Explanation:

Step1: Identify shared right angle

Both triangles are right triangles, so they share a congruent right angle ($\angle C = \angle F = 90^\circ$).

Step2: Marked congruent sides

Each triangle has one leg marked congruent ($AC = DF$) and the hypotenuse marked congruent ($AB = DE$).

Step3: Apply congruence rule

For right triangles, if the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of another triangle, the triangles are congruent by the HL (Hypotenuse-Leg) congruence theorem.

Answer:

The two triangles are related by Hypotenuse-Leg (HL) congruence, so the triangles can be proven congruent.