Question

are these shapes congruent? work it out not feeling ready yet? these can help: name, measure, and classify angles find the constant of proportionality from a table lines, line segments, and rays do the ratios form a proportion?

Explanation:

Step1: Recall congruent - shape definition

Two shapes are congruent if they have the same shape and size, i.e., corresponding angles are equal and corresponding sides are equal.

Step2: Check corresponding angles

In the first polygon, the angles are \(58^{\circ},122^{\circ},58^{\circ},122^{\circ}\). In the second polygon, the angles are \(58^{\circ},122^{\circ},58^{\circ},122^{\circ}\). The corresponding angles are equal.

Step3: Check corresponding sides

The side - lengths of the first polygon are \(58\) mi and \(65\) mi. The side - lengths of the second polygon are \(58\) mi and \(65\) mi. The corresponding sides are equal.

Answer:

yes