Question

are these shapes congruent?
yes no

Explanation:

Step1: Check corresponding sides

In the first shape, sides are \(46\) in, \(37\) in, \(46\) in, \(78\) in. In the second shape, sides are \(54\) in, \(37\) in, \(46\) in, \(78\) in. The side \(54\) in in the second shape has no corresponding \(54\) in side in the first shape.

Step2: Check corresponding angles

In the first shape, angles are \(64^{\circ}\), \(116^{\circ}\), \(64^{\circ}\), \(116^{\circ}\). In the second shape, angles are \(62^{\circ}\), \(112^{\circ}\), \(116^{\circ}\), \(70^{\circ}\). The angles \(62^{\circ}\), \(112^{\circ}\), \(70^{\circ}\) in the second shape have no corresponding equal - measure angles in the first shape.

Answer:

no