2
QuizMultiple Choice

Foundations of Euclidean Geometry — Test

Question 2 • Geometry

Ray CE is the angle bisector of angle ACD Which statement about the figure must be true?

Answer
A
angle ACE is congruent to angle DCB
B
measure of angle ECD is equal to 1 half measure of angle ECB
C
angle ECD is congruent to angle ACD
D
measure of angle ACE is equal to 1 half measure of angle ACD

Explanation

An angle bisector divides an angle into two equal angles. Since ray CE bisects angle ACD, angle ACE and angle ECD each measure half of angle ACD. Therefore, the statement that measure of angle ACE is one-half the measure of angle ACD must be true.

AI-written and checked against the verified answer.

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