Question

Fill in the missing statement and reason of the proof below.

Given: A, B, C, DABCD is a rhombus.

Prove: start overline, D, E, end overline, \cong, start overline, B, E, end overline
DE
≅
BE

Answer 1

Missing statement: E is the midpoint of DB.

Reason: In a rhombus (a parallelogram) the diagonals bisect each other, so their intersection E bisects DB. Hence by definition of midpoint DE = BE.