ABCD is a rhombus. Given only the choices below, which properties would you use to prove AEB ≅ DEC by SAS?

https://media.glynlyon.com/g_geo_2012/6/img_geou6abc_38.gif

The diagonals are ⊥ to each other.
The diagonals bisect each other.
Opposite sides are | |.
All sides are congruent.

Question

ABCD is a rhombus. Given only the choices below, which properties would you use to prove AEB ≅ DEC by SAS?

https://media.glynlyon.com/g_geo_2012/6/img_geou6abc_38.gif

The diagonals are ⊥ to each other.
The diagonals bisect each other.
Opposite sides are | |.
All sides are congruent.

dumbcow · Answer

diagonals bisect each other .... which tell you the legs of triangles are congruent

diagonals are perpendicular  .... which tell you the triangles both have right angles