Question

in the diagram, $overline{kl}congoverline{nr}$ and $overline{jl}congoverline{mr}$. what additional information is needed to show $\triangle{jkl}cong\triangle{mnr}$ by sas? $angle{r}congangle{k}$, $angle{l}congangle{r}$, $angle{j}congangle{m}$, $angle{k}congangle{n}$

Explanation:

Step1: Identify given congruent sides

$\overline{KL} \cong \overline{NR}$, $\overline{JL} \cong \overline{MR}$

Step2: Determine included angles for SAS

In $\triangle JKL$, included angle between $\overline{KL}$ and $\overline{JL}$ is $\angle L$. In $\triangle MNR$, included angle between $\overline{NR}$ and $\overline{MR}$ is $\angle R$.

Step3: Require included angles congruent

For SAS, need $\angle L \cong \angle R$

Answer:

$\angle L \cong \angle R$