Answer:
See proof
Step-by-step explanation:
Statements Reasons
1. [tex]\overline{AEC}[/tex] bisects [tex]\angle DAB,\ \angle 1\cong \angle 2[/tex] Given
2. [tex]\angle 3\cong \angle 4[/tex] Definition of angle bisector
3. [tex]\overline{AE}\cong \overline{AE}[/tex] Reflexive property of equality
4. [tex]\triangle ABE \cong \triangle ADE[/tex] AAS postulate
5. [tex]\overline {AB}\cong \overline{AD}[/tex] Congruent triangles have congruent corresponding sides
6. [tex]\overline{AC}\cong \overline{AC}[/tex] Reflexive property of equality
7. [tex]\triangle BAC \cong \triangle DAC[/tex] SAS postulate
8. [tex]\overline {BC}\cong \overline{CD}[/tex] Congruent triangles have congruent corresponding sides
