Question

1. if △acb≅△jkl, which of the following must be a correct congruence statement? circle all that apply. mark each triangle with all 6 congruency marks. (a) ∠a≅∠l (c) ∠b≅∠k (b) (overline{ab}congoverline{jl}) (d) △bac≅△lkj

Explanation:

Step1: Recall congruent - triangle properties

When $\triangle ACB\cong\triangle JKL$, corresponding angles and corresponding sides are congruent. The order of the vertices in the congruence statement matters.

Step2: Analyze option A

$\angle A$ corresponds to $\angle J$, not $\angle L$. So, $\angle A
ot\cong\angle L$.

Step3: Analyze option B

$\overline{AB}$ corresponds to $\overline{JL}$. Since $\triangle ACB\cong\triangle JKL$, by the definition of congruent triangles, corresponding sides are congruent, so $\overline{AB}\cong\overline{JL}$.

Step4: Analyze option C

$\angle B$ corresponds to $\angle K$. Since $\triangle ACB\cong\triangle JKL$, corresponding angles are congruent, so $\angle B\cong\angle K$.

Step5: Analyze option D

If $\triangle ACB\cong\triangle JKL$, then $\triangle BAC\cong\triangle KLJ$ because the order of vertices is consistent with the corresponding - parts of congruent triangles.

Answer:

B. $\overline{AB}\cong\overline{JL}$, C. $\angle B\cong\angle K$, D. $\triangle BAC\cong\triangle LKJ$