Parallelogram A B C D is shown.





Question
Move options to the table to prove that the diagonals of a parallelogram bisect each other.

Response area with 7 blank spaces
Statement Reason
A B C D is a parallelogram.

Given

segment A B is congruent to
Blank space 14 empty
and
Blank space 15 empty
is parallel to
Blank space 16 empty

Definition of a parallelogram

angle A E B is congruent to
Blank space 17 empty

Vertical angles are congruent.
angle C A B is congruent to
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Alternate interior angles are congruent.
triangle A E B is congruent to triangle C E D

Angle-angle-side congruence
segment A E is congruent to
Blank space 19 empty
and segment B E is congruent to
Blank space 21 empty

Corresponding parts of congruent triangles


Answer options with 12 options.