Question

submita) △lkj ≅ △
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Explanation:

Step1: Identify corresponding vertices

In congruent triangles, corresponding parts are equal. Looking at the sides and angles:

• The side of length \(17\) cm in the first triangle corresponds to \(VU\) in the second triangle.
• The right - angle vertex \(k\) in the first triangle corresponds to \(V\) in the second triangle.
• The side of length \(34\) cm in the first triangle corresponds to \(VW\) in the second triangle.
• The side of length \(38\) cm in the first triangle corresponds to \(UW\) in the second triangle.
• The vertex \(l\) (with the non - right, non - marked angle) in the first triangle corresponds to \(U\) (with the non - right, non - marked angle) in the second triangle.
• The vertex \(j\) (with the remaining angle) in the first triangle corresponds to \(W\) (with the remaining angle) in the second triangle.

Step2: Write the congruence statement

Since \(\triangle lkj\) and \(\triangle uvw\) have all corresponding sides and angles equal (by SSS or SAS or ASA criteria, as all three sides are equal: \(lk = vu=17\) cm, \(kj = vw = 34\) cm, \(lj=uw = 38\) cm), the congruence statement is \(\triangle LKJ\cong\triangle UVW\)

Answer:

\(\triangle UVW\)