Question

in the figure below, \\( \overline{wu} \cong \overline{vt} \\). the congruency theorem can be used to prov \\( \triangle wut \cong \triangle vtu \\). sss hl sas aas

Explanation:

• Identify the given information: We know that \(\overline{WU}\cong\overline{VT}\). Also, \(\overline{TU}\) is a common side for \(\triangle WUT\) and \(\triangle VTU\), so \(\overline{TU}\cong\overline{TU}\).
• Analyze the angles: The right - angle marks indicate that \(\angle WUT\) and \(\angle VTU\) are right angles.
• Apply the congruence theorem: The Hypotenuse - Leg (HL) theorem states that if the hypotenuse and a leg of one right - triangle are congruent to the hypotenuse and a leg of another right - triangle, then the two right - triangles are congruent. Here, \(\overline{WU}\) and \(\overline{VT}\) are legs, and \(\overline{TU}\) is the hypotenuse for both right - triangles \(\triangle WUT\) and \(\triangle VTU\).

Answer:

HL