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 - side and angle markings

In congruent triangles, matching tick - marks on sides indicate equal sides and equal angle measures are congruent angles.

Step2: Match corresponding parts

For the two triangles, we can see that:

• Angles with the same measure are congruent. So, $\angle K\cong\angle O$ (both have no special marking among the given angles in their respective triangles).
• Sides with one tick - mark are congruent. $\overline{KL}\cong\overline{OP}$ as they both have one tick - mark.
• Angles with the same measure are congruent. $\angle L\cong\angle P$ (both are $36^{\circ}$).
• Sides with two tick - marks are congruent. $\overline{JL}\cong\overline{NP}$ as they both have two tick - marks.

Answer:

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