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question determine the relationship between the two triangles and wheth…

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: Analyze the triangles

Both triangles are right - angled (have a \(90^{\circ}\) angle). The markings on the sides indicate that two pairs of corresponding sides are equal.

Step2: Apply congruence criterion

For right - angled triangles, if the hypotenuse and one leg are equal (HL - Hypotenuse - Leg congruence criterion), the triangles are congruent. Here, the equal - marked sides (one is the hypotenuse as it is opposite the right angle in each triangle) and the right angles satisfy the HL criterion.

Answer:

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