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PLEASE HELP ASAP

Which is NOT true of the construction of an angle bisector?

A)You start with any angle

B) When you're finished, you have a line that bisects your segment

C) You must draw an arc using the vertex as the center

D) When you're finished, you have a ray that bisects your angle

1 Answer

3 votes

Answer:

B) When you're finished, you have a line that bisects your segment

Explanation:

An angle bisector is a ray that divides a given angle into two congruent parts. There is no line segment involved.

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The statement that is not true about this construction is ...

B) When you're finished, you have a line that bisects your segment

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Additional comment

The construction effectively creates an arc of a circle, then creates the perpendicular bisector of the chord of that arc. The center of the circular arc is the vertex of the angle being bisected. The constructed perpendicular bisector of the chord also bisects the angle. (The chord is never actually drawn, and the "circular arc" may be two short arcs across the rays of the angle being bisected.)

User Ebrahim Pasbani
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