Question

identify the angles and sides that are congruent between the two shapes below. show your work here ∠d≅∠ (overline{ab})≅ ∠b≅∠ (overline{bc})≅

Explanation:

Step1: Identify congruent angles by markings

Angles with same - arc markings are congruent. So, $\angle D\cong\angle C$ as they have the same single - arc marking.

Step2: Identify congruent sides by markings

Sides with the same number of hash marks are congruent. $\overline{AB}\cong\overline{EF}$ since they both have a single hash mark.

Step3: Identify another pair of congruent angles

$\angle B\cong\angle E$ as they have the same double - arc marking.

Step4: Identify another pair of congruent sides

$\overline{BC}\cong\overline{DE}$ as they both have a double hash mark.

Answer:

$\angle D\cong\angle C$
$\overline{AB}\cong\overline{EF}$
$\angle B\cong\angle E$
$\overline{BC}\cong\overline{DE}$