Question

if kjml ≅ vwxu, what are the corresponding parts? select all that apply. ∠j ≅ ∠w ∠l ≅ ∠u $overline{lm}$ ≅ $overline{ux}$ $overline{kj}$ ≅ $overline{wx}$

Explanation:

Step1: Recall congruent - polygon property

When two polygons are congruent, their corresponding angles and corresponding sides are congruent. The order of the vertices in the congruence statement KJML≅VWXU gives the correspondences.

Step2: Identify corresponding angles

The first - letter vertices correspond, the second - letter vertices correspond, and so on. So, ∠J corresponds to ∠W and ∠L corresponds to ∠U.

Step3: Identify corresponding sides

Side LM in KJML corresponds to side UX in VWXU as they are in the same relative position in the two congruent polygons.

Step4: Check side KO

There is no such side KO in polygon KJML. The correct side - correspondence for the first and third vertices would be KJ and VW, JM and WX, etc. But KO is an incorrect side for the given polygon KJML, so $\overline{KO}\cong\overline{WX}$ is wrong.

Answer:

∠J≅∠W, ∠L≅∠U, $\overline{LM}\cong\overline{UX}$