Answer:
statement: segment HA is parallel to seg HD and seg HD is parallel to seg AN.
Reason: given
statement: angle 1 is congurent to angle 3.
reason: alternate interior angles are congruent.
statement: angles 2 and 4 are congruent
reason: alternate interior angles are congruent.
statement: Seg DA is congruent to seg DA
reason: reflexive property
statement: angle AHD is congruent to angle AND
reason: since angles 1 and 3 are congruent, and 2 and 4 are congruent, and HDA is a triangle, same with AND, the last angle must be congruent.
statement: seg HD is congruent to seg NA and HA is cong to ND.
reason: ASA angle side angle theorem states that if 2 angles and a side is congruent to the corresponding parts of another triangle, then it is congruent.
Step-by-step explanation: