Homework for 3/6
Prove that a quadrilateral is a rhombus if and only if the diagonals are perpendicular bisectors of each other.
Since this is an "if and only if" proof there are two things to prove.
1. Given: ABCD is a rhombus
To prove: AE = EC, BE = ED, and AC is perpendicular to BD.
and the converse,
2. Given: AE = EC, BE = ED, and AC is perpendicular to BD.
To prove: ABCD is a rhombus.