Question

identify the angles and sides that are congruent between the two shapes below.
show your work here
∠r≅∠
∠m≅∠
overline{qr}≅
overline{mo}≅

Explanation:

Step1: Match angles by markings

Angles with the same number of arcs are congruent. So, $\angle R$ is congruent to $\angle N$ as they have the same single - arc marking.

Step2: Match other angles

$\angle M$ is congruent to $\angle Q$ as they have the same double - arc marking.

Step3: Match sides by markings

Sides with the same number of hash marks are congruent. $\overline{QR}$ is congruent to $\overline{MN}$ as they have the same single - hash mark. $\overline{MO}$ is congruent to $\overline{PQ}$ as they have the same double - hash mark.

Answer:

$\angle R\cong\angle N$
$\angle M\cong\angle Q$
$\overline{QR}\cong\overline{MN}$
$\overline{MO}\cong\overline{PQ}$