Question

question
determine the relationship between the two triangles and whether or not they can be proven to be congruent.

answer (menu (1 out of 2)
the two triangles are related by
, so the triangles

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side - side - side (sss)
side - angle - side (sas)
angle - side - angle (asa)
angle - angle - side (aas)
hypotenuse - leg (hl)
side - side - angle (ssa)
angle - angle - angle (aaa)

Explanation:

The two triangles are right - angled triangles (as indicated by the right - angle marks). For right - angled triangles, the Hypotenuse - Leg (HL) congruence criterion states that if the hypotenuse and one leg of a right - triangle are congruent to the hypotenuse and one leg of another right - triangle, then the two right - triangles are congruent. From the diagram, we can see that there are markings indicating that one leg and the hypotenuse of the two right - triangles are congruent. So the relationship is Hypotenuse - Leg (HL), and the triangles can be proven congruent by HL.

Answer:

The two triangles are related by Hypotenuse - Leg (HL), so the triangles can be proven congruent. The correct option for the relationship is Hypotenuse - Leg (HL).