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The last Option says Segment AB is Congruent to segment DC

The last Option says Segment AB is Congruent to segment DC-example-1

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The following must be true on the given scenario:

a.) Angle BAE is congruent to angle CDE.

- The two angles are a pair of alternate interior angles, which is under the theorem of alternating interior angles and properties of a parallelogram formed by the two triangles, must be congruent.

b.) Triangle ABD is congruent to triangle DCA.

- (Reflexive Property) Triangle ABD = Triangle DBA and Triangle DCA = Triangle ACD. It is given that Triangle ACD is the image of triangle DBA after a 180-degree rotation.

c.) Triangle BDA is congruent to triangle CDA.

- (Reflexive Property) Triangle BDA = Triangle DBA and Triangle CDA = Triangle ACD. It is given that Triangle ACD is the image of triangle DBA after a 180-degree rotation.

d.) Segment DA is congruent to segment AD.

- Reflexive Property

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