Question

what are the corresponding parts of the figures below? select all that apply.
∠k≅∠o
kl¯≅op¯
∠l≅∠p
jl¯≅np¯

Explanation:

Step1: Identify congruent angles

In congruent triangles, angles with the same measure are congruent. $\angle K$ and $\angle O$ both have a measure of $124^{\circ}$, so $\angle K\cong\angle O$. $\angle L$ and $\angle P$ both have a measure of $36^{\circ}$, so $\angle L\cong\angle P$.

Step2: Identify congruent sides

Sides with the same number of tick - marks are congruent. $\overline{KL}$ and $\overline{OP}$ both have one tick - mark, so $\overline{KL}\cong\overline{OP}$. $\overline{JL}$ and $\overline{NP}$ both have two tick - marks, so $\overline{JL}\cong\overline{NP}$.

Answer:

$\angle K\cong\angle O$, $\overline{KL}\cong\overline{OP}$, $\angle L\cong\angle P$, $\overline{JL}\cong\overline{NP}$