Answer:
- The line segments cross at right angles
- AD = AE = CD = CE
- The figure ADCE is a rhombus
- ∠DAE = ∠DCE
- ∠ADC +∠DAE = ∠ADC + ∠DCE = 180°
- ∠AEC + ∠DAE = ∠AEC + ∠DCE = 180°
- ∠ADC = ∠AEC
- AD║CE
- AE║CD
- AC bisects angles A and C
- DE bisects angles D and E
Explanation:
A rhombus is a quadrilateral that has diagonals that bisect each other. Anything you can say about the angles and segments of a rhombus can be said about the angles and segments of the figure created by these mutual perpendicular bisectors.
A rhombus has 4 equal-length sides. Opposite sides are parallel, and opposite angles are congruent. Adjacent angles are supplementary. Each diagonal bisects the angles at either end.