Question

Try this B E Given: BELO, BOLE Prove ABEL ALOB Complete the Proof Statements 1. 2. BO=LE 3. 4. ∆BEL =∆LOB REASONS 1.GIVEN 2. 3. 4. ​

Answer 1

The given congruency of the sides $\mathbf{\overline{BE}}$ and $\mathbf{\overline{LO}}$  and $\mathbf{\overline{BO}}$ and $\mathbf{\overline{LE}}$ as well

as the congruency of the common side $\mathbf{\overline{BL}}$ gives.

ΔBEL ≅ ΔLOB by SSS congruency postulate

Which values correctly completes the table?

The completed two column proof is presented as follows;

Statement ${}$                                          Reasons

1. $\underline{\overline{BE} \cong \overline{LO}}$                       ${}$                  1. Given

2. $\overline{BO}$ ≅ $\overline{LE}$                       ${}$                 2.

3. $\underline{\overline{BL} \cong \overline{BL}}$                       ${}$                  3. Reflexive property of congruency

4. ΔBEL ≅ ΔLOB                     ${}$           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:

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