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2 years ago

Lines AD and EC meet at point B. Which of the following statements must be true? Select All that apply.

Mathematics

1 answer:

anastassius [24]2 years ago

3 0

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 $180 ^{o}$ rotation about B.
Option B is applicable because D will be located on ray BA after the $180 ^{o}$ 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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