Asked by Story
A horizontal line contains points A, C, B. 2 lines extend from point C. A line extends to point E and another line extends to point D. An arc represents angle A C D.
Ray CE is the angle bisector of AngleACD. Which statement about the figure must be true?
mAngleECD = One-halfmAngleECB
mAngleACE = one-halfmAngleACD
AngleACE Is-congruent-to AngleDCB
AngleECDIs-congruent-to AngleACD
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Answered by
GPT-5 mini
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Answer: m∠ACE = 1/2 m∠ACD.
Reason: CE is the angle bisector of ∠ACD, so ∠ACE = ∠ECD and each equals half of ∠ACD. The other choices are not generally true (CA and CB are collinear/opposite rays, so the angles involving CB are not equal to those involving CA).
Reason: CE is the angle bisector of ∠ACD, so ∠ACE = ∠ECD and each equals half of ∠ACD. The other choices are not generally true (CA and CB are collinear/opposite rays, so the angles involving CB are not equal to those involving CA).
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