Current Skill 1 Penalty Quadrilateral JKLcong Quadrilateral UVWX Which of the following is a false congruence statement comparing the quadrilaterals corresponding parts? overline (KI)cong overline (XU) overline (KL)cong overline (WX) overline (KI)cong overline (WU) angle Kcong angle W

To determine which of the given statements is false, we need to understand the concept of congruence for quadrilaterals. Two quadrilaterals are congruent if all their corresponding sides and angles are congruent. This means that each side and angle of one quadrilateral is congruent to its corresponding side and angle in the other quadrilateral.Given that \(Quadrilateral JKL \cong Quadrilateral UVWX\), we can list the corresponding parts of the quadrilaterals based on the order of the vertices:1. \(\overline{JK} \cong \overline{UV}\)2. \(\overline{JL} \cong \overline{VW}\)3. \(\overline{KL} \cong \overline{UX}\)4. \(\overline{LJ} \cong \overline{WV}\)5. \(\angle J \cong \angle U\)6. \(\angle K \cong \angle V\)7. \(\angle L \cong \angle X\)8. \(\angle J \cong \angle W\)Now, let's evaluate each of the given statements:1. \(\overline{KI} \cong \overline{XU}\) - This statement is comparing side \(\overline{KI}\) with side \(\overline{XU}\). However, based on the corresponding parts listed above, \(\overline{KI}\) should correspond to \(\overline{WU}\), not \(\overline{XU}\). Therefore, this statement is false.2. \(\overline{KL} \cong \overline{WX}\) - This statement is comparing side \(\overline{KL}\) with side \(\overline{WX}\). According to the corresponding parts, \(\overline{KL}\) does indeed correspond to \(\overline{UX}\), not \(\over}\). However, since \(\overline{UX}\) and \(\overline{WX}\) are not the same side, this statement is also false.3. \(\overline{KI} \cong \overline{WU}\) - This statement is comparing side \(\overline{KI}\) with side \(\overline{WU}\). Based on the corresponding parts, \(\overline{KI}\) does correspond to \(\overline{WU}\), so this statement is true.4. \(\angle K \cong \angle W\) - This statement is comparing angle \(\angle K\) with angle \(\angle W\). According to the corresponding parts, \(\angle K correspond to \(\angle V\), not \(\angle W\). However, since \(\angle K\) and \(\angle W\) are not the same angle, this statement is also false.The false congruence statement is the first one:\(\overline{KI} \cong \overline{XU}\)