Question

Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures.

Answer 1

@jim_thompson5910

Answer 2

The diagonals above are AC and BD. You need to show they are the same. The easiest way to do this is by showing that the triangles ABC and DCB are congruent to each other, which results in matching sides (in this case the diagonals) being equal in length.

Answer 3

Of course to show congruence you must apply one of SSS, AAS, SAS or RHS. Which one you choose will heavily depend on what information are already given.