QuestionGiven: $A B C D$ is a parallelogram. Diagonals $\overline{\mathrm{AC}}, \overline{\mathrm{BD}}$ intersect at E . Prove: $\overline{\mathrm{AE}} \cong \overline{\mathrm{CE}}$ and $\overline{\mathrm{BE}} \cong \overline{\mathrm{DE}}$ Statements
1. ABCD is a parallelogram
2. $\overline{\mathrm{AB}} \| \overline{\mathrm{CD}}$
3. $\angle \mathrm{BAE}$ and $\angle \mathrm{DCE}$ are alt. interior angles
Reasons
1. given
2. def. of parallelogram
3. def. of alt. interior angles
CorrectIAssemble the next statement. Intro