Question

are these shapes congruent?

Explanation:

Step1: Check side lengths

Compare corresponding side lengths. In the first shape, sides are \(10m\), \(13m\), \(30m\), \(38m\). In the second shape, sides are \(10m\), \(13m\), \(30m\), \(38m\).

Step2: Check angles

Compare corresponding angles. Angles in the first shape are \(76^{\circ}\), \(138^{\circ}\), \(111^{\circ}\), \(35^{\circ}\). Angles in the second shape are \(76^{\circ}\), \(138^{\circ}\), \(111^{\circ}\), \(35^{\circ}\).

Answer:

yes