Question

I need help and the bar in the right are the answer choices

Answer 1

Consider triangle ABE and triangle CDE,

$ABCD\text{ is a parallelogram (Given)}$$AB\parallel CD\text{ (Defination of a parallelogram (1))}$$\angle1\cong\angle2,\angle3\cong\angle4\text{ (Alternate interior angle thorem)}$$AB\cong CD\text{ (Defination of a parallelogram (2))}$$\Delta ABE\cong\Delta CDE\text{ (ASA)}$$AE\cong CE,BE\cong DE\text{ (CPCTC)}$$AC\text{ and BD bisect each other at E (Defination of segment bisector)}$

Answer:

Given

Defination of a parallelogram (1)

Alternate interior angles theorem

Defination of a parallelogram (2)

ASA

CPCTC

Defination of segment bisector