Respuesta :

The given congruency of the sides [tex]\mathbf{\overline{BE}}[/tex] and [tex]\mathbf{\overline{LO}}[/tex]  and [tex]\mathbf{\overline{BO}}[/tex] and [tex]\mathbf{\overline{LE}}[/tex] as well

as the congruency of the common side [tex]\mathbf{\overline{BL}}[/tex] gives.

ΔBEL ≅ ΔLOB by SSS congruency postulate

Which values correctly completes the table?

The completed two column proof is presented as follows;

Statement [tex]{}[/tex]                                          Reasons

1. [tex]\underline{\overline{BE} \cong \overline{LO}}[/tex]                       [tex]{}[/tex]                  1. Given

2. [tex]\overline{BO}[/tex] ≅ [tex]\overline{LE}[/tex]                       [tex]{}[/tex]                 2.

3. [tex]\underline{\overline{BL} \cong \overline{BL}}[/tex]                       [tex]{}[/tex]                  3. Reflexive property of congruency

4. ΔBEL ≅ ΔLOB                     [tex]{}[/tex]           4. SSS congruency postulate

Side-Side-Side, SSS, congruency postulate states that if three sides of

one triangle are congruent to three sides of another triangle, the two

triangles are congruent.

Learn more about different congruency postulates here:

https://brainly.com/question/1495556

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