The angles produced are vertically opposite angles, thus opposite angles are congruent. The applicable statements are; A, B, C and D.
Lines AD and EC meeting at point B produces set of angles that are congruent (by vertical opposite property).
Now considering the given diagram, it can be observed that the following statements are applicable: A, B, C and D.
- Option A is applicable because of the rigid transformation process of [tex]180 ^{o}[/tex] rotation about B.
- Option B is applicable because D will be located on ray BA after the [tex]180 ^{o}[/tex] rotation.
- Option C is applicable since both processes are true.
- Option D is applicable since <ABC and <DBE are vertically opposite angles.
- Option E is NOT applicable <ABC is NOT congruent to <ABE.
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