Answer:
Review the explanation
Step-by-step explanation:
The triangles ΔABC and ΔBAD are congruent, establishing:
- AB ≅ BA;
- AC ≅ BD;
- BC ≅ AD;
- ∠ABC ≅ ∠BAD;
- ∠BCA ≅ ∠ADB;
- ∠CAB ≅ ∠DBA.
Now, consider triangles AEC and BED. In these triangles, we have:
- AC ≅ BD;
- ∠EAC ≅ ∠EBD (due to ∠CBA ≅ ∠BAD);
- ∠AEC ≅ ∠BED (being vertical angles).
Therefore, ΔAEC ≅ ΔBED, which leads to the conclusion that:
AE ≅ EB.
This indicates that line segment CD bisects segment AD.
